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math.AP2024
Asymptotic stability for the 3D Navier-Stokes equations in and nearby spaces
Zachary Bradshaw, Weinan Wang
We provide a short proof of -asymptotic stability around vector fields that are small in weak-, including small Landau solutions. We show that asymptotic stability also h…
math.AP2024
A kinetic Nash inequality and precise boundary behavior of the kinetic Fokker-Planck equation
Christopher Henderson, Giacomo Lucertini, Weinan Wang
In this paper, we prove a kinetic Nash type inequality and adapt it to a new functional inequality for functions in a kinetic Sobolev space with absorbing boundary conditions on th…
math.AP2024
Global well-posedness and enhanced dissipation for the 2D stochastic Nernst-Planck-Navier-Stokes equations with transport noise
Quyuan Lin, Rongchang Liu, Weinan Wang
In this paper, we consider the 2D stochastic Nernst-Planck-Navier-Stokes equations with transport noise. By assuming the ionic species have the same diffusivity and opposite valenc…