33 citations · 62 across the 24 of their papers we have counts for
25 papers
Nonlinear stability of a background magnetic field for the 3D compressible MHD equations with anisotropic dissipation
Jincheng Gao, Xianpeng Hu, Lianyun Peng +1
We study the nonlinear stability of an equilibrium with a background magnetic field for the three-dimensional compressible magnetohydrodynamic (MHD) equations in the whole space $\…
Global uniform regularity and vanishing vertical viscosity limit for the compressible Navier--Stokes equations in the half-space
Jincheng Gao, Lianyun Peng, Jiahong Wu +1
In geophysical flows such as large-scale ocean dynamics, the vertical viscosity is often much smaller than the horizontal viscosity. This anisotropy makes it natural to ask whether…
Global uniform regularity for the 3D compressible MHD equations near a background magnetic field
Jincheng Gao, Xianpeng Hu, Lianyun Peng +1
This paper resolves the global regularity problem for the three-dimensional compressible magnetohydrodynamics (MHD) equations in the three-dimensional whole space, in the presence…
Global uniform regularity for the 3D incompressible MHD equations with slip boundary condition near a background magnetic field
Jincheng Gao, Lianyun Peng, Jiahong Wu +1
This paper resolves the global regularity problem for the three-dimensional incompressible magnetohydrodynamics (MHD) equations in the upper half-space with slip boundary condition…
Incompressible limit for the 3D compressible FENE dumbbell model
Jincheng Gao, Jiahong Wu, Zheng-an Yao +1
In this work, we study the global-in-time incompressible limit of the compressible FENE dumbbell model on the three-dimensional torus T^3, where the incompressible limit is driven…
Global uniform regularity for the 3D incompressible MHD equations with slip boundary condition near an equilibrium
Jincheng Gao, Jiahong Wu, Zheng-an Yao +1
This paper solves the global conormal regularity problem for the three-dimensional incompressible MHD equations with slip boundary condition near a background magnetic field. Motiv…
Local existence and uniqueness of solution to the two-dimensional inhomogeneous Prandtl equations by energy method
Jincheng Gao, Lianyun Peng, Zheng-an Yao
In this paper, we consider the local existence and uniqueness result for the inhomogeneous Prandtl equations in dimension two by energy method. First of all, for the homogeneous ca…
Well-posedness and exponential stability of the inhomogeneous anisotropic incompressible Navier-Stokes equation with far-field vacuum in two-dimensional whole space
Jincheng Gao, Lianyun Peng, Zheng-an Yao
In this paper, we investigate the well-posedness theory and exponential stability for the inhomogeneous incompressible Navier-Stokes equation with only horizontal dissipative struc…
Optimal decay of full compressible Navier-Stokes equations with potential force
Jincheng Gao, Minling Li, Zheng-an Yao
In this paper, we aim to investigate the optimal decay rate for the higher order spatial derivative of global solution to the full compressible Navier-Stokes (CNS) equations with p…
Higher regularity and asymptotic behavior of 2D magnetic Prandtl model in the Prandtl-Hartmann regime
Jincheng Gao, Minling Li, Zheng-an Yao
In this paper, we investigate the higher regularity and asymptotic behavior for the 2-D magnetic Prandtl model in the Prandtl-Hartmann regime. Due to the degeneracy of horizontal v…
Optimal decay of compressible Navier-Stokes equations with or without potential force
Jincheng Gao, Minling Li, Zheng-an Yao
In this paper, we investigate the optimal decay rate for the higher order spatial derivative of global solution to the compressible Navier-Stokes (CNS) equations with or without po…
The Optimal Decay Rate of Strong Solution for the Compressible Nematic Liquid Crystal Equations with Large Initial Data
Jincheng Gao, Zhengzhen Wei, Zheng-an Yao
This paper is devoted to establishing the optimal decay rate of the global large solution to compressible nematic liquid crystal equations when the initial perturbation is large an…
Decay of Strong Solution for the Compressible Navier-Stokes Equations with Large Initial Data
Jincheng Gao, Zhengzhen Wei, Zheng-an Yao
In this paper, we investigate the convergence of the global large solution to its associated constant equilibrium state with an explicit decay rate for the compressible Navier-Stok…
The Optimal Decay Rate of Strong Solution for the Compressible Navier-Stokes Equations with Large Initial Data
Jincheng Gao, Zhengzhen Wei, Zheng-an Yao
In recent paper 5, it is shown that the upper decay rate of global solution of compressible Navier-Stokes(CNS) equations converging to constant equilibrium state in …
Lower Bound and Space-time Decay Rates of Higher Order Derivatives of Solution for the Compressible Navier-Stokes and Hall-MHD Equations
Jincheng Gao, Zeyu Lyu, Zheng-an Yao
In this paper, we address the lower bound and space-time decay rates for the compressible Navier-Stokes and Hall-MHD equations under framework in . First of all…
A Note on the Well-posedness of Prandtl Equations in Dimension Two
Jincheng Gao, Daiwen Huang, Zheng-an Yao
In this paper, we investigate the local-in-time well-posedness for the two-dimensional Prandtl equations in weighted Sobolev spaces under the Oleinik's monotonicity condition.Due t…
Boundary Layer Problems for the Two-dimensional Inhomogeneous Incompressible Magnetohydrodynamics Equations
Jincheng Gao, Daiwen Huang, Zheng-an Yao
In this paper, we study the well-posedness of boundary layer problems for the inhomogeneous incompressible magnetohydrodynamics(MHD) equations, which are derived from the two dimen…
Local-in-time Well-posedness of Boundary Layer System for the Full Incompressible MHD Equations by Energy Methods
Jincheng Gao, Boling Guo, Daiwen Huang
In this paper, we investigate the well-posedness theory for the MHD boundary layer system in two-dimensional space. The boundary layer equations are governed by the Prandtl type eq…
Uniform Regularity and Vanishing Viscosity Limit for the Compressible Nematic Liquid Crystal Flows in Three Dimensional Bounded Domain
Jincheng Gao, Boling Guo, Yaqing Liu
In this paper, we study the uniform regularity and vanishing viscosity limit for the compressible nematic liquid crystal flows in three dimensional bounded domain. It is shown that…
Uniform Regularity and Vanishing Viscosity Limit for the Nematic Liquid Crystal Flows in Three Dimensional Domain
Jincheng Gao, Boling Guo, Xiaoyu Xi
In this paper, we investigate the uniform regularity and vanishing limit for the incompressible nematic liquid crystal flows in three dimensional bounded domain. It is shown that t…
Optimal Decay Rates of Classical Solutions for the Full Compressible MHD Equations
Jincheng Gao, Qiang Tao, Zheng-an Yao
In this paper, we are concerned with optimal decay rates for higher order spatial derivatives of classical solutions to the full compressible MHD equations in three dimensional who…
Global Existence and Optimal Decay Rates of Solutions for Compressible Hall-MHD Equations
Jincheng Gao, Zheng-an Yao
In this paper, we are concerned with global existence and optimal decay rates of solutions for the three-dimensional compressible Hall-MHD equations. First, we prove the global exi…
Long-time Behavior of Solution for the Compressible Nematic Liquid Crystal Flows in
Jincheng Gao, Qiang Tao, Zheng-an Yao
In this paper, we investigate the Cauchy problem for the compressible nematic liquid crystal flows in three-dimensional whole space. First of all, we establish the time decay rates…
Strong Solution to the Density-dependent Incompressible Nematic Liquid Crystal Flows
Jincheng Gao, Qiang Tao, Zheng-an Yao
In this paper, we investigate the density-dependent incompressible nematic liquid crystal flows in or dimensional bounded domain. More precisely, we obtain the local e…