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math.AP2023
On Stability and Instability of Gravity Driven Navier-Stokes-Korteweg Model in Two Dimensions
Fei Jiang, Fucai Li, Zhipeng Zhang
Bresch-Desjardins-Gisclon-Sart have derived that the capillarity can slow {down} the growth rate of Rayleigh-Taylor (RT) instability in the capillary fluids based on the linearized…
math.PR2023
Convergence towards the population cross-diffusion system from stochastic many-particle system
Yue Li, Li Chen, Zhipeng Zhang
In this paper, we derive rigorously a non-local cross-diffusion system from an interacting stochastic many-particle system in the whole space. The convergence is proved in the sens…