Mathematics | Cambridge Core

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Fluid Mechanics. Papers on this page are organised in collections from 76- through 76Z, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

76-XX: Fluid mechanics 76Axx: Foundations, constitutive equations, rheology 76Bxx: Incompressible inviscid fluids 76Dxx: Incompressible viscous fluids 76Exx: Hydrodynamic stability 76Fxx: Turbulence 76Gxx: General aerodynamics and subsonic flows 76Hxx: Transonic flows 76Jxx: Supersonic flows 76Kxx: Hypersonic flows 76Lxx: Shock waves and blast waves 76Mxx: Basic methods in fluid mechanics 76Nxx: Compressible fluids and gas dynamics, general 76Pxx: Rarefied gas flows, Boltzmann equation 76Qxx: Hydro- and aero-acoustics 76Rxx: Diffusion and convection 76Sxx: Flows in porous media; filtration; seepage 76Txx: Two-phase and multiphase flows 76Uxx: Rotating fluids 76Vxx: Reaction effects in flows 76Wxx: Magnetohydrodynamics and electrohydrodynamics 76Xxx: Ionized gas flow in electromagnetic fields; plasmic flow 76Yxx: Quantum hydrodynamics and relativistic hydrodynamics 76Zxx: Biological fluid mechanics

Fluid mechanics (76-XX)

View all

Article
Numerical Investigation and Wind Tunnel Validation on Near-Wake Vortical Structures of Wind Turbine Blades
Zhenyu Zhang, Li Chen, Tongguang Wang
Advances in Applied Mathematics and Mechanics, Volume 8, Issue 4

Article
ON THIN OR SLENDER BODIES
E. O. TUCK, Y. M. STOKES
The ANZIAM Journal, Volume 53, Issue 3

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Foundations, constitutive equations, rheology (76Axx)

View all

Article
EFFECT OF EXTERNAL HARMONIC VIBRATION ON THE FORMATION OF SOLITARY WAVES IN FALLING TWO-LAYER LIQUID FILMS
ANDREY POTOTSKY, SERGEY A. SUSLOV
The ANZIAM Journal, Volume 67

Article
CAPILLARY LEVELLING OF THIN LIQUID FILMS OF POWER-LAW RHEOLOGY
MICHAEL C. DALLASTON
The ANZIAM Journal, Volume 66, Issue 1

Article
A collision result for both non-Newtonian and heat conducting Newtonian compressible fluids
Šárka Nečasová, Florian Oschmann
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Dynamics and steady state of squirmer motion in liquid crystal
Leonid Berlyand, Hai Chi, Mykhailo Potomkin, Nung Kwan Yip
European Journal of Applied Mathematics, Volume 35, Issue 2

Article
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid
Jae-Myoung Kim
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 1

Article
Charge transport modelling of Lithium-ion batteries
G. W. RICHARDSON, J. M. FOSTER, R. RANOM, C. P. PLEASE, A. M. RAMOS
European Journal of Applied Mathematics, Volume 33, Issue 6

Article
On travelling wave solutions of a model of a liquid film flowing down a fibre
HANGJIE JI, ROMAN TARANETS, MARINA CHUGUNOVA
European Journal of Applied Mathematics, Volume 33, Issue 5

Article
A novel Landau-de Gennes model with quartic elastic terms
DMITRY GOLOVATY, MICHAEL NOVACK, PETER STERNBERG
European Journal of Applied Mathematics, Volume 32, Issue 1

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Incompressible inviscid fluids (76Bxx)

View all

Article
WAVE INTERACTION WITH AN H-SHAPED SUBMERGED BREAKWATER
R. B. KALIGATLA, P. PANJA, B. N. MANDAL
The ANZIAM Journal, Volume 67

Article
NONLINEAR MODULATION OF RANDOM WAVE SPECTRA FOR SURFACE-GRAVITY WAVES WITH LINEAR SHEAR CURRENTS
SUMAN MUKHERJEE, SOURAV HALDER, A. K. DHAR
The ANZIAM Journal, Volume 66, Issue 4

Article
HARMONIC RESONANCE OF SHORT-CRESTED GRAVITY WAVES ON DEEP WATER: ON THEIR PERSISTENCY
SIREL C. COLÓN USECHE, SYLVERT PAUL, MANSOUR IOUALALEN
The ANZIAM Journal, Volume 67

Article
Spectral stability of constrained solitary waves for a generalized Ostrovsky equation
Fangyu Han, Yuetian Gao
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Wake flow past a submerged plate near a free surface
E. McLean, Robert Bowles, Jean-Marc Vanden-Broeck
European Journal of Applied Mathematics, Volume 36, Issue 3

Article
IRROTATIONAL FLOW DUE TO FORCED OSCILLATIONS OF A BUBBLE
MADELEINE C. COCKERILL, LAWRENCE K. FORBES, ANDREW P. BASSOM
The ANZIAM Journal, Volume 66, Issue 3

Article
On the reconstruction of unknown driving forces from low-mode observations in the 2D Navier–Stokes equations
Vincent R. Martinez
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part II: justification as a shallow water approximation
Vincent Duchêne, Tatsuo Iguchi
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Incompressible viscous fluids (76Dxx)

View all

Article
Ill-posedness issue on the Oldroyd-B model in the critical Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Well-posedness of Naiver–Stokes equations in logarithmic Q spaces covering $BMO^{-1}$ and its fractional counterpart
Meimei Shi, Pengtao Li, Zengjian Lou, Zhichun Zhai
Canadian Journal of Mathematics, First View

Article
Regularity criteria for the 3D Navier–Stokes and MHD equations
Alexey Cheskidov, Mimi Dai
Proceedings of the Edinburgh Mathematical Society, First View

Article
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures
Zhengwang Tao, Dandan Yang, Yunfei Lv
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Well-posedness for the 3-D generalized micropolar system in critical Fourier–Besov–Morrey spaces
Peng Gao, Baoquan Yuan, Tiantian Zhai
Canadian Mathematical Bulletin, Volume 68, Issue 3

Article
CAPILLARY LEVELLING OF THIN LIQUID FILMS OF POWER-LAW RHEOLOGY
MICHAEL C. DALLASTON
The ANZIAM Journal, Volume 66, Issue 1

Article
Large Péclet number forced convection from a circular wire in a uniform stream: hybrid approximations at small Reynolds numbers
Ehud Yariv
European Journal of Applied Mathematics, Volume 35, Issue 6

Article
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors
Dominic Stone, Sergey Zelik
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 1

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Hydrodynamic stability (76Exx)

View all

Article
HARMONIC RESONANCE OF SHORT-CRESTED GRAVITY WAVES ON DEEP WATER: ON THEIR PERSISTENCY
SIREL C. COLÓN USECHE, SYLVERT PAUL, MANSOUR IOUALALEN
The ANZIAM Journal, Volume 67

Article
IRROTATIONAL FLOW DUE TO FORCED OSCILLATIONS OF A BUBBLE
MADELEINE C. COCKERILL, LAWRENCE K. FORBES, ANDREW P. BASSOM
The ANZIAM Journal, Volume 66, Issue 3

Article
EFFECT OF EXTERNAL HARMONIC VIBRATION ON THE FORMATION OF SOLITARY WAVES IN FALLING TWO-LAYER LIQUID FILMS
ANDREY POTOTSKY, SERGEY A. SUSLOV
The ANZIAM Journal, Volume 67

Article
FLUID INJECTION IN A POROUS MEDIUM: THE RADIAL SAFFMAN–TAYLOR INSTABILITY
SIENNA E. COOK, LARRY K. FORBES, STEPHEN J. WALTERS
The ANZIAM Journal, Volume 65, Issue 4

Article
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations
Ting Chen, Ruizhao Zi
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Instability of axisymmetric flow in thermocapillary liquid bridges: Kinetic and thermal energy budgets for two-phase flow with temperature-dependent material properties
Mario Stojanović, Francesco Romanò, Hendrik C. Kuhlmann
European Journal of Applied Mathematics, Volume 35, Issue 2

Article
COUETTE FLOW OVER A HEAT ISLAND
LAWRENCE K. FORBES, STEPHEN J. WALTERS
The ANZIAM Journal, Volume 65, Issue 1-2

Article
ANALYSIS OF ELECTROMAGNETICALLY DRIVEN FLOW IN AN ANNULAR LAYER OF CONDUCTING FLUID
JOHN MCCLOUGHAN
Bulletin of the Australian Mathematical Society, Volume 107, Issue 3

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Turbulence (76Fxx)

View all

Article
On the Lie symmetries of characteristic function hierarchy in compressible turbulence
D.S. PRATURI, D. PLÜMACHER, M. OBERLACK
European Journal of Applied Mathematics, Volume 34, Issue 5

Article
Detached Eddy Simulation of Complex Separation Flows Over a Modern Fighter Model at High Angle of Attack
Yang Zhang, Laiping Zhang, Xin He, Xiaogang Deng, Haisheng Sun
Communications in Computational Physics, Volume 22, Issue 5

Article
ON MODELLING THE TRANSITION TO TURBULENCE IN PIPE FLOW
LAWRENCE K. FORBES, MICHAEL A. BRIDESON
The ANZIAM Journal, Volume 59, Issue 1

Article
DNS Study on Vortex and Vorticity in Late Boundary Layer Transition
Yiqian Wang, Yong Yang, Guang Yang, Chaoqun Liu
Communications in Computational Physics, Volume 22, Issue 2

Article
A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows
Fatih Çevik, Kahraman Albayrak
Communications in Computational Physics, Volume 22, Issue 2

Article
An Implicitly Consistent Formulation of a Dual-Mesh Hybrid LES/RANS Method
Heng Xiao, Jian-Xun Wang, Patrick Jenny
Communications in Computational Physics, Volume 21, Issue 2

Article
Numerical Investigation of the Coherent Structures and Sound Properties in Sonic Coaxial Jets
Haitao Shi, Dawei Chen, Pei Wang, Nansheng Liu, Xiyun Lu
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 3

Article
On the Generation of Instability Tollmien-Schlichting Waves by Free-Stream Turbulence
Luyu Shen, Changgen Lu
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 2

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

General aerodynamics and subsonic flows (76Gxx)

View all

Article
AN EXAMINATION OF THE “LANIER WING” DESIGN
Y. M. STOKES, W. L. SWEATMAN, G. C. HOCKING
The ANZIAM Journal, Volume 65, Issue 1-2

Article
FLIGHT LIMITATIONS IMPOSED ON SINGLE ROTOR AND COAXIAL HELICOPTERS BY THE LIFT EQUATION
B. MALDON, MICHAEL H. MEYLAN
The ANZIAM Journal, Volume 65, Issue 1-2

Article
Numerical Optimization and Noise Analysis of High-Tip-Speed Wind Turbine
Long Wang, Guoping Chen, Tongguang Wang, Jiufa Cao
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 6

Article
Study on Mass Transports in Evolution of Separation Bubbles Using LCSs and Lobe Dynamics
Shengli Cao, Wei Wang, Jiazhong Zhang, Yan Liu
Communications in Computational Physics, Volume 22, Issue 1

Article
Effective Boundary Conditions: A General Strategy and Application to Compressible Flows Over Rough Boundaries
Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller
Communications in Computational Physics, Volume 21, Issue 2

Article
Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations
Andreas Hüppe, Gary Cohen, Sébastien Imperiale, Manfred Kaltenbacher
Communications in Computational Physics, Volume 20, Issue 1

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Transonic flows (76Hxx)

View all

Article
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations
Yanbo Hu, Guodong Wang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Structural stability of transonic shock flows with an external force
Shangkun Weng, Wengang Yang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Supersonic flows (76Jxx)

View all

Article
Wing-body interaction in supersonic flow past dihedral wings
R. T. Waechter
Mathematika, Volume 18, Issue 2

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Hypersonic flows (76Kxx)

View all

Article
Stability Analysis of a Fully Coupled Implicit Scheme for Inviscid Chemical Non-Equilibrium Flows
Yu Wang, Jinsheng Cai, Kun Qu
Advances in Applied Mathematics and Mechanics, Volume 8, Issue 6

Article
Finite Element Algorithm for Dynamic Thermoelasticity Coupling Problems and Application to Transient Response of Structure with Strong Aerothermodynamic Environment
Zhihui Li, Qiang Ma, Junzhi Cui
Communications in Computational Physics, Volume 20, Issue 3

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Shock waves and blast waves (76Lxx)

View all

Article
A Comparison Study of Numerical Methods for Compressible Two-Phase Flows
Jianyu Lin, Hang Ding, Xiyun Lu, Peng Wang
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 5

Article
On 16th and 32th Order Multioperators-Based Schemes for Smooth and Discontinuous Fluid Dynamics Solutions
Andrei I. Tolstykh
Communications in Computational Physics, Volume 22, Issue 2

Article
An Approach to Obtain the Correct Shock Speed for Euler Equations with Stiff Detonation
Bin Yu, Linying Li, Bin Zhang, Jianhang Wang
Communications in Computational Physics, Volume 22, Issue 1

Article
Analytical Model: Characteristics of Nanosecond Pulsed Plasma Synthetic Jet Actuator in Multiple-Pulsed Mode
Zheng Li, Zhiwei Shi, Hai Du
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 2

Article
Numerical Study of Nanosecond Pulsed Plasma Actuator in Laminar Flat Plate Boundary Layer
J. G. Zheng, J. Li, Z. J. Zhao, Y. D. Cui, B. C. Khoo
Communications in Computational Physics, Volume 20, Issue 5

Article
Positivity-Preserving Runge-Kutta Discontinuous Galerkin Method on Adaptive Cartesian Grid for Strong Moving Shock
Jianming Liu, Jianxian Qiu, Mikhail Goman, Xinkai Li, Meilin Liu
Numerical Mathematics: Theory, Methods and Applications, Volume 9, Issue 1

Article
Dynamics in the fundamental solution of a non-convex conservation law
Yong-Jung Kim, Young-Ran Lee
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 146, Issue 1

Article
High Order Numerical Simulation of Detonation Wave Propagation Through Complex Obstacles with the Inverse Lax-Wendroff Treatment
Cheng Wang, Jianxu Ding, Sirui Tan, Wenhu Han
Communications in Computational Physics, Volume 18, Issue 5

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Basic methods in fluid mechanics (76Mxx)

View all

Article
A multiscale model for espresso brewing: Asymptotic analysis and numerical simulation
Yoana Grudeva, Kevin M. Moroney, Jamie M. Foster
European Journal of Applied Mathematics, First View

Article
Wake flow past a submerged plate near a free surface
E. McLean, Robert Bowles, Jean-Marc Vanden-Broeck
European Journal of Applied Mathematics, Volume 36, Issue 3

Article
Modelling of the fluid flow in a thin domain with injection through permeable boundary
Eduard Marušić-Paloka, Igor Pažanin
European Journal of Applied Mathematics, Volume 35, Issue 6

Article
Large Péclet number forced convection from a circular wire in a uniform stream: hybrid approximations at small Reynolds numbers
Ehud Yariv
European Journal of Applied Mathematics, Volume 35, Issue 6

Article
Breakdown of electroneutrality in polyelectrolyte gels
Matthew G. Hennessy, Giulia L. Celora, Sarah L. Waters, Andreas Münch, Barbara Wagner
European Journal of Applied Mathematics, Volume 35, Issue 3

Article
COUETTE FLOW OVER A HEAT ISLAND
LAWRENCE K. FORBES, STEPHEN J. WALTERS
The ANZIAM Journal, Volume 65, Issue 1-2

Article
On macrosegregation in a binary alloy undergoing solidification shrinkage
Milton Assunção, Michael Vynnycky
European Journal of Applied Mathematics, Volume 35, Issue 1

Article
A homogenised model for the motion of evaporating fronts in porous media
Ellen K. Luckins, Christopher J. W. Breward, Ian M. Griffiths, Colin P. Please
European Journal of Applied Mathematics, Volume 34, Issue 4

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Compressible fluids and gas dynamics, general (76Nxx)

View all

Article
Ill-posedness issue on the Oldroyd-B model in the critical Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Optimal transport on gas networks
Ariane Fazeny, Martin Burger, Jan-F. Pietschmann
European Journal of Applied Mathematics, First View

Article
Smooth imploding solutions for 3D compressible fluids
Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano
Forum of Mathematics, Pi, Volume 13

Article
Structural stability of transonic shock flows with an external force
Shangkun Weng, Wengang Yang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Efficient simulation of coupled gas and power networks under uncertain demands
EIKE FOKKEN, SIMONE GÖTTLICH, MICHAEL HERTY
European Journal of Applied Mathematics, Volume 34, Issue 3

Article
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates
Sili Liu, Wenjun Wang, Huanyao Wen
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 2

Article
Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems
Xiaopeng Zhao
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 152, Issue 5

Article
Regularity criterion on the energy conservation for the compressible Navier–Stokes equations
Zhilei Liang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 151, Issue 6

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Rarefied gas flows, Boltzmann equation (76Pxx)

View all

Article
A Two-Stage Fourth-Order Gas-Kinetic Scheme for Compressible Multicomponent Flows
Liang Pan, Junxia Cheng, Shuanghu Wang, Kun Xu
Communications in Computational Physics, Volume 22, Issue 4

Article
Comprehensive Studies on Rarefied Jet and Jet Impingement Flows with Gaskinetic Methods
Chunpei Cai, Xin He, Kai Zhang
Communications in Computational Physics, Volume 22, Issue 3

Article
A Probabilistic Automatic Steady State Detection Method for the Direct Simulation Monte Carlo
A. Karchani, O. Ejtehadi, R. S. Myong
Communications in Computational Physics, Volume 20, Issue 5

Article
A Simplified Lattice Boltzmann Method without Evolution of Distribution Function
Z. Chen, C. Shu, Y. Wang, L. M. Yang, D. Tan
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 1

Article
A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations
Liang Pan, Kun Xu
Communications in Computational Physics, Volume 18, Issue 4

Article
Modelling Rarefied Hypersonic Reactive Flows Using the Direct Simulation Monte Carlo Method
Ming-Chung Lo, Cheng-Chin Su, Jong-Shinn Wu, Kun-Chang Tseng
Communications in Computational Physics, Volume 18, Issue 4

Article
High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation
Manuel A. Diaz, Min-Hung Chen, Jaw-Yen Yang
Communications in Computational Physics, Volume 18, Issue 4

Article
Convergence Study of Moment Approximations for Boundary Value Problems of the Boltzmann-BGK Equation
Manuel Torrilhon
Communications in Computational Physics, Volume 18, Issue 3

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Hydro- and aero-acoustics (76Q)

View all

Article
Numerical Investigation of the Coherent Structures and Sound Properties in Sonic Coaxial Jets
Haitao Shi, Dawei Chen, Pei Wang, Nansheng Liu, Xiyun Lu
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 3

Article
Radiation of acoustic power from a two-dimensional double elastic panel
F. G. Leppington
Mathematika, Volume 42, Issue 2

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Diffusion and convection (76Rxx)

View all

Article
Large Péclet number forced convection from a circular wire in a uniform stream: hybrid approximations at small Reynolds numbers
Ehud Yariv
European Journal of Applied Mathematics, Volume 35, Issue 6

Article
The nonclassical diffusion equations with time-dependent memory kernels and a new class of nonlinearities
Le Thi Thuy, Nguyen Duong Toan
Glasgow Mathematical Journal, Volume 64, Issue 3

Article
ONE-DIMENSIONAL CHAOTIC LAMINAR FLOW WITH COMPETITIVE EXOTHERMIC AND ENDOTHERMIC REACTIONS
S. D. WATT, Z. HUANG, H. S. SIDHU, A. C. MCINTOSH, J. BRINDLEY
The ANZIAM Journal, Volume 62, Issue 4

Article
Degenerate equations in a diffusion–precipitation model for clogging porous media
RAPHAEL SCHULZ
European Journal of Applied Mathematics, Volume 31, Issue 6

Article
Small Péclet-number mass transport to a finite strip: An advection–diffusion–reaction model of surface-based biosensors
EHUD YARIV
European Journal of Applied Mathematics, Volume 31, Issue 5

Article
EXPLORING THE ROLE OF SMALL-SCALE THERMOHALINE STRUCTURE ON MIXING AND TRANSPORT IN THE OCEAN
YUEHUA LI
Bulletin of the Australian Mathematical Society, Volume 98, Issue 2

Article
FLUID FLOW AND PARTICLE TRANSPORT THROUGH PERIODIC CAPILLARIES
NAZMUL ISLAM
Bulletin of the Australian Mathematical Society, Volume 96, Issue 3

Article
Computing Residual Diffusivity by Adaptive Basis Learning via Spectral Method
Jiancheng Lyu, Jack Xin, Yifeng Yu
Numerical Mathematics: Theory, Methods and Applications, Volume 10, Issue 2

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Flows in porous media; filtration; seepage (76Sxx)

View all

Article
A multiscale model for espresso brewing: Asymptotic analysis and numerical simulation
Yoana Grudeva, Kevin M. Moroney, Jamie M. Foster
European Journal of Applied Mathematics, First View

Article
Homogenised models of nutrient transport in a fibrous bioreactor scaffold
Amy Kent, Sarah L. Waters, James M. Oliver, Stephen J. Chapman
European Journal of Applied Mathematics, First View

Article
MIXED BOUNDARY VALUE PROBLEM IN MICROFLUIDICS: THE AVER’YANOV–BLUNT MODEL REVISITED
ANVAR KACIMOV, YURII OBNOSOV
The ANZIAM Journal, Volume 67

Article
EXTRACTION OF DENSITY-LAYERED FLUID FROM A POROUS MEDIUM
JYOTHI JOSE
Bulletin of the Australian Mathematical Society, Volume 109, Issue 3

Article
NUMERICAL ANALYSIS OF APPARATUS-INDUCED DISPERSION FOR DENSITY-DEPENDENT SOLUTE TRANSPORT IN POROUS MEDIA
H. ZHANG, D. A. BARRY, B. SEYMOUR, G. HOCKING
The ANZIAM Journal, Volume 65, Issue 1-2

Article
Time-dependent modelling of thin poroelastic films drying on deformable plates
Matthew G. Hennessy, Richard V. Craster, Omar K. Matar
European Journal of Applied Mathematics, Volume 35, Issue 1

Article
Profiling ponded soil surface in saturated seepage into drain-line sink: Kalashnikov’s method of lateral leaching revisited
A. R. KACIMOV, YU. V. OBNOSOV
European Journal of Applied Mathematics, Volume 34, Issue 2

Article
Existence and uniqueness of solutions to a flow and transport problem with degenerating coefficients
NADJA RAY, RAPHAEL SCHULZ
European Journal of Applied Mathematics, Volume 34, Issue 1

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Two-phase and multiphase flows (76Txx)

View all

Article
Instability of axisymmetric flow in thermocapillary liquid bridges: Kinetic and thermal energy budgets for two-phase flow with temperature-dependent material properties
Mario Stojanović, Francesco Romanò, Hendrik C. Kuhlmann
European Journal of Applied Mathematics, Volume 35, Issue 2

Article
A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions
Benjamin D. Goddard, Tim D. Hurst, Mark Wilkinson
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 151, Issue 3

Article
About a cavitation model including bubbles in thin film lubrication: A first mathematical analysis
ALFREDO JARAMILLO, GUY BAYADA, IONEL CIUPERCA, MOHAMMED JAI
European Journal of Applied Mathematics, Volume 31, Issue 5

Article
Global well-posedness and large time behaviour of the viscous liquid-gas two-phase flow model in ℝ3
Guochun Wu, Yinghui Zhang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 150, Issue 4

Article
A POROUS VISCOELASTIC MODEL FOR THE CELL CYTOSKELETON
CALINA A. COPOS, ROBERT D. GUY
The ANZIAM Journal, Volume 59, Issue 4

Article
The Modified Ghost Method for Compressible Multi-Medium Interaction with Elastic-Plastic Solid
Zhiwei Feng, Jili Rong, Abouzar Kaboudian, Boo Cheong Khoo
Communications in Computational Physics, Volume 22, Issue 5

Article
Topology Optimization of Capillary, Two-Phase Flow Problems
Yongbo Deng, Zhenyu Liu, Yihui Wu
Communications in Computational Physics, Volume 22, Issue 5

Article
A Two-Stage Fourth-Order Gas-Kinetic Scheme for Compressible Multicomponent Flows
Liang Pan, Junxia Cheng, Shuanghu Wang, Kun Xu
Communications in Computational Physics, Volume 22, Issue 4

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Rotating fluids (76Uxx)

View all

Article
Long wave approximation for water waves under a Coriolis forcing and the Ostrovsky equation
Benjamin Melinand
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 148, Issue 6

Article
Interaction of a Vortex Induced by a Rotating Cylinder with a Plane
Daozhi Han, Yifeng Hou, Roger Temam
Communications in Computational Physics, Volume 22, Issue 3

Article
The dissipative quasigeostrophic equations
A. F. Bennett, P. E. Kloeden
Mathematika, Volume 28, Issue 2

Article
On the slow viscous rotation of a body straddling the interface between two immiscible semi-infinite fluids
Joanne C. Schneider, Michael E. O'Neill, Howard Brenner
Mathematika, Volume 20, Issue 2

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Reaction effects in flows (76Vxx)

View all

Article
Simulation of Two-Dimensional Scramjet Combustor Reacting Flow Field Using Reynolds Averaged Navier-Stokes WENO Solver
Juan-Chen Huang, Yu-Hsuan Lai, Jeng-Shan Guo, Jaw-Yen Yang
Communications in Computational Physics, Volume 18, Issue 4

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Magnetohydrodynamics and electrohydrodynamics (76Wxx)

View all

Article
Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space
Yeping Li, Jing Tang, Shengqi Yu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 152, Issue 3

Article
Quantitative estimates for bending energies and applications to non-local variational problems
Michael Goldman, Matteo Novaga, Matthias Röger
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 150, Issue 1

Article
Converge rates towards stationary solutions for the outflow problem of planar magnetohydrodynamics on a half line
Haiyan Yin
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 149, Issue 5

Article
Electrophoresis of a Cylinder in a Cylindrical Tube
Huicheng Feng, Teck Neng Wong
Communications in Computational Physics, Volume 22, Issue 4

Article
High Order Hierarchical Divergence-Free Constrained Transport H(div) Finite Element Method for Magnetic Induction Equation
Wei Cai, Jun Hu, Shangyou Zhang
Numerical Mathematics: Theory, Methods and Applications, Volume 10, Issue 2

Article
A Contact Line Dynamic Model for a Conducting Water Drop on an Electrowetting Device
Dongdong He, Huaxiong Huang
Communications in Computational Physics, Volume 20, Issue 3

Article
Singular solutions of a fully nonlinear 2 × 2 system of conservation laws
Henrik Kalisch, Darko Mitrović
Proceedings of the Edinburgh Mathematical Society, Volume 55, Issue 3

Article
A note on the steady longitudinal motion of an insulating cylinder in a conducting fluid
W. E. Williams
Mathematika, Volume 18, Issue 1

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Ionized gas flow in electromagnetic fields; plasmic flow (76Xxx)

View all

Article
Analytical Model: Characteristics of Nanosecond Pulsed Plasma Synthetic Jet Actuator in Multiple-Pulsed Mode
Zheng Li, Zhiwei Shi, Hai Du
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 2

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Quantum hydrodynamics and relativistic hydrodynamics (76Yxx)

View all

Article
Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics
Jian Zhao, Huazhong Tang
Communications in Computational Physics, Volume 22, Issue 3

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

Biological fluid mechanics (76Zxx)

View all

Article
ELECTRO-OSMOTIC EFFECT ON PERISTALTIC FLOW OF PHAN–THIEN–TANNER FLUID IN A PLANAR CHANNEL
MAHADEV M. CHANNAKOTE, SHEKAR M., V. K. DILIPKUMAR
The ANZIAM Journal, Volume 66, Issue 1

Article
SELF-EXCITED OSCILLATIONS IN A COLLAPSIBLE CHANNEL WITH APPLICATIONS TO RETINAL VENOUS PULSATION
PETER S. STEWART, ALEXANDER J. E. FOSS
The ANZIAM Journal, Volume 61, Issue 3

Article
PHOTOFOCUSING OF MICROORGANISMS SWIMMING IN A FLOW WITH SHEAR
R. J. CLARKE
The ANZIAM Journal, Volume 59, Issue 4

Article
THRIFTY SWIMMING WITH SHEAR-THINNING: A NOTE ON OUT-OF-PLANE EFFECTS FOR UNDULATORY LOCOMOTION THROUGH SHEAR-THINNING FLUIDS
D. A. GAGNON, T. D. MONTENEGRO-JOHNSON
The ANZIAM Journal, Volume 59, Issue 4

Article
BIOLOGICAL FLUID MECHANICS UNDER THE MICROSCOPE: A TRIBUTE TO JOHN BLAKE
DAVID J. SMITH
The ANZIAM Journal, Volume 59, Issue 4

Article
Numerical Computation of Doubly-Periodic Stokes Flow Bounded by a Plane with Applications to Nodal Cilia
Franz Hoffmann, Ricardo Cortez
Communications in Computational Physics, Volume 22, Issue 3

Article
Lagrangian Mesh Model with Regridding for Planar Poiseuille Flow
Jingxuan Zhuo, Ricardo Cortez, Robert Dillon
Communications in Computational Physics, Volume 22, Issue 1

Article
Self-propelled motion in a viscous compressible fluid
Václav Mácha, Šárka Nečasová
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 146, Issue 2

View all

Info

Allow content?

This content requires cookies. To view content please update your cookie preferences.

MSC 2010: Fluid Mechanics

Allow content?

Fluid mechanics (76-XX)

Allow content?

Foundations, constitutive equations, rheology (76Axx)

Allow content?

Incompressible inviscid fluids (76Bxx)

Allow content?

Incompressible viscous fluids (76Dxx)

Allow content?

Hydrodynamic stability (76Exx)

Allow content?

Turbulence (76Fxx)

Allow content?

General aerodynamics and subsonic flows (76Gxx)

Allow content?

Transonic flows (76Hxx)

Allow content?

Supersonic flows (76Jxx)

Allow content?

Hypersonic flows (76Kxx)

Allow content?

Shock waves and blast waves (76Lxx)

Allow content?

Basic methods in fluid mechanics (76Mxx)

Allow content?

Compressible fluids and gas dynamics, general (76Nxx)

Allow content?

Rarefied gas flows, Boltzmann equation (76Pxx)

Allow content?

Hydro- and aero-acoustics (76Q)

Allow content?

Diffusion and convection (76Rxx)

Allow content?

Flows in porous media; filtration; seepage (76Sxx)

Allow content?

Two-phase and multiphase flows (76Txx)

Allow content?