Turbidity currents (TCs) are a common kind of particle-laden flow in underwater natural environments. This work employs a Eulerian–Lagrangian model to investigate the dynamic regimes of lock-exchange TC in a moderate flow Reynolds number range (${Re} = 1716-3836$) as well as the formation and evolution mechanisms of interfacial Kelvin–Helmholtz (KH) billows composed of a fluid–particle mixture. The results demonstrate that a fluid streak with high stretching at the interface, which twists and takes on a braided structure, is the key to the onset of KH instability. An increase in ${\textit{Re}}$ results in a higher interfacial fluid velocity gradient that intensifies the shear instability, and an increase in the convergent fluid force acting on the particles. This provides an explanation for the significant increases both in quantity and strength of KH vortices as ${\textit{Re}}$ rises. The enhanced KH vortices contribute to particle suspension and streamwise transport at larger ${\textit{Re}}$, leading to an extension in the duration of the slumping stage, which exhibits a constant forward velocity regime. The spatially continuous braided structure in the vorticity sheet region is responsible for the intriguing merging phenomenon of interfacial vortices. Furthermore, TC kinetic energy increases with the increasing ${\textit{Re}}$, and the system dissipation rate decreases in the early and middle stages of the TC. This behaviour may be correlated to the reducing shear between the TC and ambient fluid by interfacial KH billows. Regarding the turbulent kinetic energy dissipation of interfacial vortices, normal strain predominates in the middle stage, while shear deformation is most prevalent in the early and later stages.

We define and study a notion of G-dimension for DG-modules over a non-positively graded commutative noetherian DG-ring A. Some criteria for the finiteness of the G-dimension of a DG-module are given by applying a DG-version of projective resolution introduced by Minamoto [Israel J. Math. 245 (2021) 409-454]. Moreover, it is proved that the finiteness of G-dimension characterizes the local Gorenstein property of A. Applications go in three directions. The first is to establish the connection between G-dimensions and the little finitistic dimensions of A. The second is to characterize Cohen-Macaulay and Gorenstein DG-rings by the relations between the class of maximal local-Cohen-Macaulay DG-modules and a special G-class of DG-modules. The third is to extend the classical Buchweitz-Happel Theorem and its inverse from commutative noetherian local rings to the setting of commutative noetherian local DG-rings. Our method is somewhat different from classical commutative ring.

Many young people feel distressed about climate change, and pessimistic about what the future holds. Gaps in education about climate change contribute to limited understanding of opportunities for climate mitigation and adaptation, and to a pervasive “discourse of doom.” Here we describe a “game for change” co-designed by climate and education researchers and young people, that aims to shift narratives about climate changed futures toward an active, adaptation-oriented focus.

The Heat Is On is designed to be played by high school classes. Set in 2050, the game takes place on a fictional island called “Adaptania.” Teams of students play the role of town councillors in communities facing the same challenges that Australian towns are experiencing as the climate heats up, including flooding, heatwaves, bushfires, inequality, health issues and economic challenges. By focussing on decision-making for adaptation and resilience, The Heat Is On enables participants to envision climate-changed futures in which communities can thrive. Students learn how to plan and collaborate to prepare for diverse and cascading impacts of climate hazards. We explore the potential for games in climate education, focussing on The Heat Is On as a case study, and share initial learnings from its development and implementation in schools.

Dot array deposition through electrohydrodynamic (EHD) printing is widely used for high resolution and material utilization advantages. However, the conventional printing method is subject to a printing frequency limit known as the capillary frequency of the meniscus oscillation, where the jet directly contacts the substrate. This makes the printing frequency of EHD printing maintain at a low level and that is difficult to improve. In this work, a method for high-frequency EHD printing through continuous pinch-off is proposed. The characteristic frequency is broken through. A model is established to reveal the printing mechanism by combining the Poisson–Nernst–Planck equation and the phase field method. The unreal charge leakage is prevented by constructing a transition function for the fluid’s properties. The stability of the Taylor cone’s deformation and the droplets’ generation is studied. The measurement criterion for printing frequency is determined. The suitable printing height that can prevent the jet from directly contacting the substrate is obtained by investigating its influence on the printing states and frequency. The phase diagram considering the liquid’s conductivity and viscosity is presented to distinguish whether the printing is based on the end-pinching or Rayleigh–Plateau instability. The influence of the conductivity, viscosity, flow rate and printing voltage on the printing frequencies is studied quantitatively. Finally, scaling laws for printing frequency are proposed by theoretical analyses and summarizing the numerical data. This work could be beneficial for further enhancing the printing frequency of EHD printing.

Breaking wave impacts on rigid structures have been extensively studied, yet the role of structural elasticity in shaping the impact and response remains insufficiently understood. In this study, we experimentally investigate the hydroelastic behaviour of a vertical cantilever plate subjected to multimodal solitary breaking wave impacts. The plate is mounted near the still water level on a 1 : 10 sloping beach, and the wave height-to-depth ratio ($H/h$) is varied from 0.15 to 0.40 to systematically control the impact type from non-breaking to highly aerated wave impacts. We show that aeration significantly affects hydroelastic impacts. The spatio-temporal extent of the impact pressure on the elastic plate increases with air entrapment, while the peak pressure becomes highly sensitive as the wave approaches the flip-through regime. Pressure oscillations associated with bubble formation induce high-frequency structural vibrations, particularly under low-aeration conditions. Furthermore, we find that the elasticity has a limited effect on the peak pressure, impact duration and impulse, but increases the maximum quasi-hydrostatic force on the plate for the scenarios investigated. Following the impact, two distinct free-top deflections are identified, i.e. a deflection $\Delta x_{\textit{imp}}$ with high acceleration induced by the impact pressure and a deflection $\Delta x_{{hp}}$ with high magnitude caused by the maximum quasi-hydrostatic pressure. These deflections scale with the Cauchy number as $\Delta x_{\textit{imp}}/l \sim Ca_{\textit{imp}}/6$ and $\Delta x_{{hp}}/l \sim Ca_{{hp}}/12$ (where l is the plate length), exhibiting parabolic and linear trends with $H/h$, respectively. This work presents a benchmark dataset and introduces a predictive law for structural deflection, providing practical insights into hydroelastic effects across various impact regimes.

Given a complex analytic family of complex manifolds, we consider canonical Aeppli deformations of $(p,q)$-forms and study its relations to the varying of dimension of the deformed Aeppli cohomology $\dim H^{\bullet ,\bullet }_{A\phi (t)}(X)$. In particular, we prove the jumping formula for the deformed Aeppli cohomology $H^{\bullet ,\bullet }_{A\phi (t)}(X)$. As a direct consequence, $\dim H^{p,q}_{A\phi (t)}(X)$ remains constant iff the Bott–Chern deformations of $(n-p,n-q)$-forms and the Aeppli deformations of $(n-p-1,n-q-1)$-forms are canonically unobstructed. Furthermore, the Bott–Chern/Aeppli deformations are shown to be unobstructed if some weak forms of ${ \partial }{ \bar {\partial } }$-lemma is satisfied.

Yiyang Dahegu rice (YyDHG) is an important agricultural specialty of Yiyang County, Jiangxi Province, and it is also a significant component of the local cultural and economic development. In this experiment, 89 samples of Dahegu rice (DHG) were collected from Jiangxi Province, including 52 samples of YyDHG and 37 samples of DHG from other regions within Jiangxi Province (oDHG). Comprehensive analysis was conducted using polyacrylamide gel electrophoresis, field phenotypic observation, population structure analysis and quality analysis. The results of variety identification indicated that the 89 samples actually comprised 52 distinct varieties, including 19 varieties of YyDHG. Population analysis has revealed rich genetic diversity among DHG varieties within Jiangxi Province, yet no significant subpopulation differentiation was observed between YyDHG and oDHG. Quality experiments demonstrated that YyDHG exhibits significant differences in appearance quality from oDHG, but no notable differences in milling quality or cooked taste and flavour. This suggests that the competitiveness of YyDHG in the market may not entirely depend on its unique quality characteristics, but rather more on its cultural value and brand effect. This experiment conducted a comprehensive analysis of the variety characteristics, genetic diversity and quality traits of YyDHG. Not only does it provide a scientific basis for the breeding and germplasm resource conservation of YyDHG, but it also holds positive implications for promoting the development of its industry.

n-3 PUFA, including ALA, EPA and DHA, are widely found in plant oils and marine organisms. These fatty acids demonstrate significant biological effects, and their adequate intake is essential for maintaining health. However, modern diets often lack sufficient n-3 PUFA, especially among populations that consume little fish or seafood, leading to a growing interest in n-3 PUFA supplementation in nutrition and health research. In recent decades, the role of n-3 PUFA in preventing and treating various diseases has gained increasing attention, particularly in cardiovascular, neurological, ophthalmic, allergic, hepatic and oncological fields. In orthopaedics, n-3 PUFA exert beneficial effects through several mechanisms, including modulation of inflammatory responses, enhancement of cartilage repair and regulation of bone metabolism. These effects demonstrate potential for the treatment of conditions such as osteoarthritis, rheumatoid arthritis, gout, osteoporosis, fractures, sarcopenia and spinal degenerative diseases. This review summarises the clinical applications of n-3 PUFA, with a focus on their research progress in the field of orthopaedics, and explores their potential in the treatment of orthopaedic diseases.

Glyphosate, the most prevalent pesticide and widely used herbicide globally, has seen much research on its potential ecological toxicity. Glyphosate-based herbicide (GBH) is directly sprayed in the field, exposing predators to the chemical through contaminated prey or direct contact. While the consequences of ingesting glyphosate have been explored, the specific impact of GBH spraying on Chrysopa pallens (Neuroptera: Chrysopidae) remains unclear. In this study, life tables were constructed to evaluate the potential effects of different stages of exposure to GBH on both the parents (F0) and offspring (F1) of C. pallens, and the expression of genes related to the insulin signalling pathway and vitellogenin (Vg1) was detected by reverse transcription-quantitative polymerase chain reaction. The results revealed that medium (10 mL/L) and high (20 mL/L) concentrations of GBH adversely affected the development and longevity of the F0 and F1 generation of C. pallens larvae. Notably, high concentrations of GBH significantly reduced the fecundity of the F0 and suppressed Vg1 transcription at both medium and high concentrations. While GBH treatment of C. pallens adults showed no harmful effects on the longevity, fecundity, population parameters, and the transcription levels of genes involved in insulin signalling and Vg1 in the F0. Nevertheless, it altered the developmental duration of the F1. Therefore, spraying GBH may lead to reduced fecundity and inhibit the Vg1 transcription, posing potential risks to both parental and offspring generations of C. pallens. These findings offer valuable insights into the proper utilisation of GBH.

This research investigates the spanwise oscillation patterns of turbulent non-premixed flames in a tandem configuration, using both experimental methods and large eddy simulations under cross-airflow conditions. Based on the heat release rate (17.43–34.86 kW) and the burner size (0.15 $\times$ 0.15 m), the flame behaves like both a buoyancy-controlled fire (such as a pool fire) and, due to cross-wind effects, a forced flow-controlled fire. The underlying fire dynamics was modelled by varying the spacing between the square diffusion burners, cross-wind velocity and heat release rate. Two flapping modes, the oscillating and bifurcating modes, were observed in the wake of the downstream diffusion flame. This behaviour depends on the wake of the upstream diffusion flame. As the backflow of the upstream flame moved downstream, the maximum flame width of the downstream flame became broader. The flapping amplitude decreased with a stronger cross-wind. Furthermore, the computational fluid dynamics simulation was performed by FireFOAM based on OpenFOAM v2006 2020 to investigate the flapping mechanism. The simulation captured both modes well. Disagreement of the flapping period on the left and right sides results in the oscillating mode, while an agreement of the flapping period results in the bifurcating mode. Finally, the scaling law expressed the dimensionless maximum flame width with the proposed set of basic dimensional parameters, following observations and interpretation by simulations. The results help prevent the potential hazards of this type of basic fire scenario and are fundamentally significant for studying wind-induced multiple fires.