3 papers
math.AP2025
Mild Solution to Stochastic Incompressible inhomogeneous Navier-Stokes Equations
Yachun Li, Ming Mei, Lizhen Zhang
In this paper, we establish the global mild solution of inhomogeneous incompressible Navier-Stokes equations in the torus with , $ 1 \leqslant N \le…
math.AP2025
Stationary solution to Stochastically Forced Euler-Poisson Equations in Bounded Domain: Part 2. 1-D Ohmic Contact Boundary
Yachun Li, Ming Mei, Lizhen Zhang
In this paper, we establish the asymptotic stability of the steady-state for a 1-D stochastic Euler-Poisson equations with Ohmic contact boundary conditions forced by the Wiener pr…
math.AP2025
Stationary solution to Stochastically Forced Euler-Poisson Equations in Bounded Domain: Part 1. 3-D Insulating Boundary
Yachun Li, Ming Mei, Lizhen Zhang
This paper is concerned with -D stochastic Euler-Poisson equations with insulating boundary conditions forced by the Wiener process. We first establish the global existence and…