This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.
D. Armbruster , B. Nicolaenko , N. Smaoui & P. Chossat (1996) Symmetries and dynamics for 2-D Navier–Stokes flow. Physica D
V. I. Arnol'd (1991) Kolmogorov's hydrodynamic attractors. Proc. R. Soc. Lond. A
G. I. Barenblatt (1996) Scaling, Self-Similarity, and Intermediate Asymptotics, Cambridge University Press, Cambridge.
R. I. Bowles , C. Davies & F. T. Smith (2003) On the spiking stages in deep transition and unsteady separation. J. Eng. Math
S. J. Chapman (2002) Subcritical transition in channel flows. J. Fluid Mech.
K. Deguchi & A. G. Walton (2013) A swirling spiral wave solution in pipe flow. J. Fluid Mech.
M. Farazmand (2016) An adjoint-based approach for finding invariant solutions of Navier–Stokes equations. J. Fluid Mech.
P. Hall & F. T. Smith (1991) On strongly nonlinear vortex/wave interactions in boundary-layer transition. J. Fluid Mech.
Y. Hiruta & S. Toh (2015) Solitary solutions including spatially localized chaos and their interactions in two-dimensional Kolmogorov flow. Phys. Rev. E
G. R. Joyce & D. Montgomery (1973) Negative temperature states for a two-dimensional guiding-center plasma. J. Plasma Phys.
S-C. Kim & H. Okamoto (2015) Unimodal patterns appearing in the Kolmogorov flows at large Reynolds numbers. Nonlinearity
D. Lucas & R. R. Kerswell (2015) Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow. Phys. Fluids
J. C. Luke (1966) A perturbation method for nonlinear dispersive wave problems. Proc. Roy. Soc. Lond. A
D. Montgomery & G. R. Joyce (1974) Statistical mechanics of “negative temperature" states. Phys. Fluids
D. Montgomery , W. H. Matthaeus , W. T. Stribling , D. Martinez & S. Oughton (1992) Relaxation in two dimensions and the “sinh-Poisson" equation. Phys. Fluids A
H. Okamoto & M. Shoji (1993) Bifurcation diagrams in Kolmogorov's problem of viscous incompressible fluid on 2-D flat tori. Japan J. Indust. Appl. Math.
N. Platt , L. Sirovich & N. Fitzmaurice (1991) An investigation of chaotic Kolmogorov flows. Phys. Fluids A
D. Ruelle & F. Takens (1971) On the nature of turbulence. Comm. Math. Phys.
F. T. Smith & O. R. Burggraf (1985) On the development of large-sized short-scaled disturbances in boundary layers. Proc. R. Soc. Lond. A
F. T. Smith , D. J. Doorly & A. P. Rothmayer (1990) On displacement-thickness, wall-layer and mid-flow scales in turbulent boundary layers & slugs of vorticity in channel and pipe flows. Proc. R. Soc. Lond. A
W. R. Smith (2007) Explicit modulation equations, Reynolds averaging and the closure problem for the Korteweg-deVries-Burgers equation. IMA J. Appl. Math.
W. R. Smith (2007) Modulation equations and Reynolds averaging for finite-amplitude nonlinear waves in an incompressible fluid. IMA J. Appl. Math.
W. R. Smith (2010) Modulation equations for strongly nonlinear oscillations of an incompressible viscous drop. J. Fluid Mech.
W. R. Smith , J. R. King , B. Tuck & J. W. Orton (1999) The single-mode rate equations for semiconductor lasers with thermal effects. IMA J. Appl. Math.
W. R. Smith & J. G. Wissink (2014) Parameterization of travelling waves in plane Poiseuille flow. IMA J. Appl. Math.
W. R. Smith & J. G. Wissink (2015) Travelling waves in two-dimensional plane Poiseuille flow. SIAM J. Appl. Math.