75 citations · 240 across the 34 of their papers we have counts for
34 papers
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…
Global Stability of a PDE-ODE model for acid-mediated tumor invasion
Fang li, Zheng-an Yao, Ruijia Yu
In this paper, we study the global dynamics of a general reaction-diffusion model based on acid-mediated invasion hypothesis, which is a candidate explanation for the Warburg effec…
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…
Non-existence of global classical solutions to barotropic compressible Navier-Stokes equations with degenerate viscosity and vacuum
Minling Li, Zheng-an Yao, Rongfeng Yu
We are concerned about the barotropic compressible Navier-Stokes equations with density-dependent viscosities which may degenerate in vacuum. We show that any classical solution to…
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…
Large time behavior in critical Besov spaces for compressible viscoelastic flows
Qunyi Bie, Hui Fang, Qiru Wang +1
We consider the large time behavior of global strong solutions to the compressible viscoelastic flows on the whole space , where the system describes the e…
Optimal decay for the full compressible Navier-Stokes system in critical Besov spaces
Qunyi Bie, Qiru Wang, Zheng-an Yao
Danchin and He (Math. Ann. 64: 1-38, 2016) recently established the global existence in critical -type regularity framework for the -dimensional non-isentropic…
Optimal decay for the compressible MHD equations in the critical regularity framework
Qunyi Bie, Qiru Wang, Zheng-an Yao
In this paper, we study the large time behavior of solutions to the compressible magnetohydrodynamic equations in the -type critical Besov spaces. Precisely, we show that if t…
Blow up and global existence for the periodic Phan-Thein-Tanner model
Yuhui Chen, Wei Luo, Zheng-an Yao
In this paper, we mainly investigate the Cauchy problem for the periodic Phan-Thein-Tanner (PTT) model. This model is derived from network theory for the polymeric fluid. We prove…
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…
Vanishing Shear Viscosity Limit and Boundary Layer Study on the Planar MHD system
Xulong Qin, Tong Yang, Zheng-an Yao +1
We consider an initial boundary problem for the planar MHD system under the general condition on the heat conductivity that may depend on both the density and the temperatu…
High order approximation for the Boltzmann equation without angular cutoff
Ling-Bing He, Yulong Zhou
In order to solve the Boltzmann equation numerically, in the present work, we propose a new model equation to approximate the Boltzmann equation without angular cutoff. Here the ap…
A Class of Three-Weight Linear Codes and Their Complete Weight Enumerators
Shudi Yang, Zheng-An Yao, Chang-An Zhao
Recently, linear codes constructed from defining sets have been investigated extensively and they have many applications. In this paper, for an odd prime , we propose a class of…
Complete Weight Enumerators of a Family of Three-Weight Linear Codes
Shudi Yang, Zheng-An Yao
Linear codes have been an interesting topic in both theory and practice for many years. In this paper, for an odd prime , we present the explicit complete weight enumerator of a…
Global existence and incompressible limit in critical spaces for compressible flow of liquid crystals
Qunyi Bie, Haibo Cui, Qiru Wang +1
The Cauchy problem for the compressible flow of nematic liquid crystals in the framework of critical spaces is considered. We first establish the existence and uniqueness of global…
Complete Weight Enumerator of a Family of Linear Codes from Cyclotomy
Shudi Yang, Zhang-An Yao, Chang-An Zhao
Linear codes have been an interesting topic in both theory and practice for many years. In this paper, for a prime , we determine the explicit complete weight enumerators of a f…
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…