9 citations · 28 across the 30 of their papers we have counts for
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Local classical solutions to Navier-Stokes equations with degenerate viscosities and vacuum
Yachun Li, Shaojun Yu
We consider the 3D isentropic compressible Navier-Stokes equations with degenerate viscousities and vacuum. The degenerate viscosities and are proportional to some po…
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…
Global Strong Solutions to the Cauchy Problem of Three-dimensional Isentropic Magnetohydrodynamics Equations with Large Initial Data
Yachun Li, Peng Lu, Zhaoyang Shang
We consider the Cauchy problem to the three-dimensional isentropic compressible Magnetohydrodynamics (MHD) system with density-dependent viscosities. When the initial density is li…
Existence and non-uniqueness of probabilistically strong solutions to 3D stochastic magnetohydrodynamic equations
Wenping Cao, Yachun Li, Deng Zhang
We are concerned with the 3D stochastic magnetohydrodynamic (MHD) equations driven by additive noise on torus. For arbitrarily prescribed divergence-free initial data in ,…
Global Existence and Asymptotic Behavior of Large Strong Solutions to the 3D Full Compressible Navier-Stokes Equations with Density-dependent Viscosities
Yachun Li, Peng Lu, Zhaoyang Shang +1
The purpose of this work is to investigate the Cauchy problem of global-in-time existence of large strong solutions to the Navier-Stokes equations for compressible viscous and heat…
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…
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…
On blow-up to the one-dimensional Navier-Stokes equations with degenerate viscosity and vacuum
Yue Cao, Yachun Li, Shaojun Yu
In this paper, we consider the Cauchy problem of the isentropic compressible Navier-Stokes equations with degenerate viscosity and vacuum in , where the viscosity depen…