9 citations · 28 across the 30 of their papers we have counts for
32 papers
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…
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…
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…
Approximations of Euler-Maxwell systems by drift-diffusion equations through zero-relaxation limits near non-constant equilibrium
Rui Jin, Yachun Li, Liang Zhao
Due to extreme difficulties in numerical simulations of Euler-Maxwell equations, which are caused by the highly complicated structures of the equations, this paper concerns the sim…
Non-uniqueness in law of Leray solutions to 3D forced stochastic Navier-Stokes equations
Elia Brué, Rui Jin, Yachun Li +1
This paper concerns the forced stochastic Navier-Stokes equation driven by additive noise in the three dimensional Euclidean space. By constructing an appropriate forcing term, we…
Non-uniqueness for the hypo-viscous compressible Navier-Stokes equations
Yachun Li, Peng Qu, Zirong Zeng +1
We study the Cauchy problem for the isentropic hypo-viscous compressible Navier-Stokes equations (CNS) under general pressure laws in all dimensions . For all hypo-viscosi…
Global Convergence and Error Estimates in Infinity-ion-mass Limits for Bipolar Euler-Poisson System
Yachun Li, Shihao Wang, Liang Zhao
This paper is concerned with the global-in-time convergence from bipolar Euler-Poisson system (BEP) to unipolar one (UEP) through the infinity-ion-mass limit by letting the ratio o…
Sharp non-uniqueness of weak solutions to 3D magnetohydrodynamic equations
Yachun Li, Zirong Zeng, Deng Zhang
We prove the non-uniqueness of weak solutions to 3D hyper viscous and resistive MHD in the class , where the exponents lie in two supercritical regimes. T…
The Global Existence of Martingale Solutions to Stochastic Compressible Navier-Stokes Equations with Density-dependent Viscosity
Yachun Li, Lizhen Zhang
The global existence of martingale solutions to the compressible Navier-Stokes equations driven by stochastic external forces, with density-dependent viscosity and vacuum, is estab…
Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: above the Lions exponent
Yachun Li, Peng Qu, Zirong Zeng +1
We study the 3D hyperdissipative Navier-Stokes equations on the torus, where the viscosity exponent can be larger than the Lions exponent . It is well-known that, due to L…
A Boundary Value Problem for a Class of Anisotropic Stochastic Degenerate Parabolic-Hyperbolic Equations
Hermano Frid, Yachun Li, Daniel Marroquin +2
We establish the well-posedness of an initial-boundary value problem of mixed type for a stochastic nonlinear parabolic-hyperbolic equation on a space domain $\cO=\cO'\X\cO''$ wher…
On the global-in-time inviscid limit of the 3D isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum
Yongcai Geng, Yachun Li, Shengguo Zhu
In the recent paper, the global-in-time inviscid limit of the three-dimensional (3D) isentropic compressible Navier-Stokes equations is considered. First, when viscosity coefficien…
The Strong Trace Property and the Neumann Problem for Stochastic Conservation Laws
Hermano Frid, Yachun Li, Daniel Marroquin +2
We establish the well-posedness of the Neumann problem for stochastic conservation laws with multiplicative noise. As a major step for establishing the uniqueness of the kinetic so…
Simplicial volume with -coefficients
Clara Loeh
For primes , we investigate an -version of simplicial volume and compare these invariants with their siblings over other coefficient rings. We will also consider t…
Well-posedness of nonisentropic Euler equations with physical vacuum
Yongcai Geng, Yachun Li, Dehua Wang +1
We consider the local well-posedness of the one-dimensional nonisentropic Euler equations with moving physical vacuum boundary condition. The physical vacuum singularity requires t…
Asymptotic Decay of Besicovitch Almost Periodic Entropy Solutions to Anisotropic Degenerate Parabolic-Hyperbolic Equations
Hermano Frid, Yachun Li
We prove the well-posedness and the asymptotic decay to the mean value of Besicovitch almost periodic entropy solutions to nonlinear aniso\-tropic degenerate parabolic-hyperbolic e…
Global existence of weak solutions for quantum MHD equations
Hao Li, Yachun Li
In this paper, we consider the quantum MHD equations with both the viscosity coefficient and the magnetic diffusion coefficient are depend on the density. we prove the global exist…