6 papers
Global well-posedness and asymptotic behavior of large strong solutions to the 3D full compressible Navier-Stokes equations with temperature-dependent coefficients
Yachun Li, Peng Lu, Zhaoyang Shang
It is well known that the global well-posedness of the Navier-Stokes equations with temperature-dependent coefficients is a challenging problem, especially in multi-dimensional spa…
Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations
Yuxi Hu, Yachun Li
An initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations is investigated. After transforming the system into Lagrangian coordinate, the…
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…
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…
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…
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…