Z. Xin

发表

Analytical solutions to the compressible Navier–Stokes equations with density-dependent viscosity coefficients and free boundaries

Zhenhua Guo, Z. Xin, 2012 .

Numerical Passage from Systems of Conservation Laws to Hamilton--Jacobi Equations, and Relaxation Schemes

Z. Xin, Shi Jin, 1998 .

The relaxation schemes for systems of conservation laws in arbitrary space dimensions

Z. Xin, Shi Jin, 1995 .

Uniqueness via the adjoint problems for systems of conservation laws

Z. Xin, P. Floch, 1993 .

The fluid-dynamic limit of the Broadwell model of the nonlinear Boltzmann equation in the presence of Shocks

Z. Xin, 1991 .

Nonlinear Stability of Shock Fronts for a Relaxation System in Several Space Dimensions

Z. Xin, T. Luo, 1997 .

On the weak solutions to a shallow water equation

Ping Zhang, Z. Xin, 2000 .

ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION

Ping Zhang, Z. Xin, 2002 .

Issue Information

Z. Xin, G. Roach, W. Sprößig, 2020, Mathematical Methods in the Applied Sciences.

Relaxation schemes for curvature-dependent front propagation

Z. Xin, Shi Jin, M. Katsoulakis, 1999 .

Viscous limits for piecewise smooth solutions to systems of conservation laws

Z. Xin, J. Goodman, 1992 .

Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition

Zhouping Xin, Yuelong Xiao, Jiahong Wu, 2009 .

Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations

Zhouping Xin, Cheng He, Z. Xin, 2005 .

On the regularity of weak solutions to the magnetohydrodynamic equations

Zhouping Xin, Cheng He, Z. Xin, 2005 .

Subsonic Flows Past a Profile with a Vortex Line at the Trailing Edge

Z. Xin, Jun Chen, Aibin Zang, 2020, SIAM J. Math. Anal..

The existence and monotonicity of a three-dimensional transonic shock in a finite nozzle with axisymmetric exit pressure

Zhouping Xin, Jun Li, Huicheng Yin, 2010 .

Transonic Shock Problem for the Euler System in a Nozzle

Zhouping Xin, Huicheng Yin, Z. Xin, 2009 .

On Transonic Shocks in a Nozzle with Variable End Pressures

Zhouping Xin, Jun Li, Huicheng Yin, 2009 .

Transonic shock in a nozzle I: 2D case

Zhouping Xin, Huicheng Yin, Z. Xin, 2005 .

GLOBAL MULTIDIMENSIONAL SHOCK WAVE FOR THE STEADY SUPERSONIC FLOW PAST A THREE-DIMENSIONAL CURVED CONE

Z. Xin, Huicheng Yin, 2006 .

Step-sizes for the gradient method

Zhouping Xin, Shing-Tung Yau, Ka-Sing Lau, 2008 .

Strong regularizing effect of integrable systems

Z. Xin, 1997 .

Uniform Regularity and Vanishing Viscosity Limit for the Compressible Navier-Stokes with General Navier-Slip Boundary Conditions in Three-Dimensional Domains

Yong Wang, Zhouping Xin, Yan Yong, 2015, SIAM J. Math. Anal..

On 3D Lagrangian Navier–Stokes α Model with a Class of Vorticity-Slip Boundary Conditions

Z. Xin, Yue-long Xiao, 2012, 1206.4119.

Smooth Transonic Flows of Meyer Type in De Laval Nozzles

Z. Xin, Chunpeng Wang, 2019, Archive for Rational Mechanics and Analysis.

Non-uniqueness of Admissible Weak Solutions to Compressible Euler Systems with Source Terms

Z. Xin, Chunjing Xie, Tianwen Luo, 2015, 1506.01103.

ON THE UNIQUENESS OF WEAK SOLUTIONS TO THE ERICKSEN-LESLIE LIQUID CRYSTAL MODEL IN R

Z. Xin, Li Jinkai, 2014 .

On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in $\mathbb R^2$

Z. Xin, E. Titi, Jinkai Li, 2014, 1410.1119.

On Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem

Z. Xin, T. Luo, Huihui Zeng, 2015, 1506.03906.

On 3 D Lagrangian Navier-Stokes α Model with a Class of Vorticity-Slip Boundary Conditions

Z. Xin, Yue-long Xiao, 2012 .

Global Existence of Regular Solutions with Large Oscillations and Vacuum

Z. Xin, Jing Li, 2016 .

Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions

Z. Xin, S. Ding, Quanrong Li, 2016, 1608.03019.

GLOBAL EXISTENCE OF WEAK SOLUTIONS TO THE NON-ISOTHERMAL NEMATIC LIQUID CRYSTALS IN 2D

Z. Xin, Jinkai Li, 2016 .

Viscous Approximations and Decay Rate of Maximal Vorticity Function for 3-D Axisymmetric Euler Equations

Z. Xin, Q. Jiu, 2004 .

Vacuum Behaviors around Rarefaction Waves to 1D Compressible Navier-Stokes Equations with Density-Dependent Viscosity

Yi Wang, Zhouping Xin, Quansen Jiu, 2011, SIAM J. Math. Anal..

Global classical solution to two-dimensional compressible Navier–Stokes equations with large data inR2

Z. Xin, Q. Jiu, Yi Wang, 2017, Physica D: Nonlinear Phenomena.

Global Well-Posedness of 2D Compressible Navier–Stokes Equations with Large Data and Vacuum

Z. Xin, Yi Wang, Q. Jiu, 2012, 1202.1382.

Global classical solutions to the two-dimensional compressible Navier-Stokes equations in R 2

Z. Xin, Q. Jiu, Yi Wang, 2012 .

Stability of Rarefaction Waves to the 1D Compressible Navier–Stokes Equations with Density-Dependent Viscosity

Z. Xin, Q. Jiu, Yi Wang, 2010, 1004.0036.

On formation of singularity for non-isentropic Navier-Stokes equations without heat-conductivity

Z. Xin, Xiangdi Huang, 2015, 1501.06291.

Stability and Existence of Multidimensional Subsonic Phase Transitions

Z. Xin, Ya-Guang Wang, 2003 .

Mathematics, mathematics education and the mouse

S. Yau, Z. Xin, K. Lau, 2008 .

Global classical solutions to the two-dimensional compressible Navier-Stokes equations in $\mathbb{R}^2$

Z. Xin, Q. Jiu, Yi Wang, 2012, 1209.0157.

Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces

Z. Xin, Q. Jiu, Yi Wang, 2012, 1207.5874.

Nonlinear stability of rarefaction waves for compressible Navier Stokes equations

Z. Xin, Tai-Ping Liu, 1988 .

ASYMPTOTIC STABILITY OF PLANAR RAREFACTION WAVES FOR VISCOUS CONSERVATION LAWS IN SEVERAL DIMENSIONS

Z. Xin, 2010 .

Contact discontinuity with general perturbations for gas motions

Zhouping Xin, Feimin Huang, Tong Yang, 2008 .

Existence of solutions for three dimensional stationary incompressible Euler equations with nonvanishing vorticity

Z. Xin, Chun-Lei Tang, Chunlei Tang, 2009 .

Long Time Existence of Entropy Solutions to the One-Dimensional Non-isentropic Euler Equations with Periodic Initial Data

Z. Xin, Peng Qu, 2014, Archive for Rational Mechanics and Analysis.

Global Well-Posedness of 2D Compressible Navier–Stokes Equations with Large Data and Vacuum

Z. Xin, Yi Wang, Q. Jiu, 2014, Journal of Mathematical Fluid Mechanics.

On strong convergence to 3-D axisymmetric vortex sheets

Z. Xin, Q. Jiu, 2006 .

The Boltzmann Equation with Soft Potentials Near a Local Maxwellian

Z. Xin, Tong Yang, Hongjun Yu, 2012, Archive for Rational Mechanics and Analysis.

Smooth Transonic Flows of Meyer Type in De Laval Nozzles

Z. Xin, Chunpeng Wang, 2019, Archive for Rational Mechanics and Analysis.

On a Degenerate Free Boundary Problem and Continuous Subsonic–Sonic Flows in a Convergent Nozzle

Z. Xin, Chunpeng Wang, 2013, Archive for Rational Mechanics and Analysis.

Transonic Shocks for the Full Compressible Euler System in a General Two-Dimensional De Laval Nozzle

Z. Xin, Jun Li, Huicheng Yin, 2012, Archive for Rational Mechanics and Analysis.

Analysis of Some Singular Solutions in Fluid Dynamics

Z. Xin, 2003, math/0305016.

Non-existence of Classical Solutions with Finite Energy to the Cauchy Problem of the Compressible Navier–Stokes Equations

Z. Xin, Hai-liang Li, Yuexun Wang, 2018, Archive for Rational Mechanics and Analysis.

On 3D Lagrangian Navier–Stokes α Model with a Class of Vorticity-Slip Boundary Conditions

Z. Xin, Yue-long Xiao, 2012, Journal of Mathematical Fluid Mechanics.

On scaling invariance and type-I singularities for the compressible Navier-Stokes equations

Z. Xin, Zhen Lei, 2019, Science China Mathematics.

On the vanishing dissipation limit for the incompressible MHD equations on bounded domains

Z. Xin, Yue-long Xiao, Q. Duan, 2021, Science China Mathematics.

Remarks on Blow-up of Smooth Solutions to the Compressible Fluid with Constant and Degenerate Viscosities

Z. Xin, Q. Jiu, Yuexun Wang, 2013, 1310.3368.

On Blowup of Classical Solutions to the Compressible Navier-Stokes Equations

Z. Xin, Wei Yan, 2012, Communications in Mathematical Physics.

Navier-Stokes Approximations to 2D Vortex Sheets in Half Plane

Z. Xin, Dongjuan Niu, Q. Jiu, 2007 .

Global Well-Posedness of Free Interface Problems for the Incompressible Inviscid Resistive MHD

Zhouping Xin, Yanjin Wang, Z. Xin, 2020, Communications in Mathematical Physics.

Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem with Degenerate Density Dependent Viscosities

Z. Xin, T. Luo, Huihui Zeng, 2015, 1507.01069.

Well-posedness of the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and far field vacuum

Z. Xin, Shengguo Zhu, 2018, Journal de Mathématiques Pures et Appliquées.

Z. Xin, He Cheng, 2011 .

Weighted estimates for nonstationary Navier-Stockes equations in exterior domains

Z. Xin, Cheng He, 2000 .

Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data

Song Jiang, Z. Xin, Fucai Li, 2011, 1111.2925.

Global well‐posedness of classical solutions with large oscillations and vacuum to the three‐dimensional isentropic compressible Navier‐Stokes equations

Zhouping Xin, Jing Li, Xiangdi Huang, 2010, 1004.4749.

Global Well-Posedness and Large Time Asymptotic Behavior of Classical Solutions to the Compressible Navier–Stokes Equations with Vacuum

Z. Xin, Jing Li, 2013, Annals of PDE.

Blowup Criterion for Viscous Baratropic Flows with Vacuum States

Zhouping Xin, Jing Li, Xiangdi Huang, 2010, 1004.5469.

Blowup of smooth solutions to the compressible Navier‐Stokes equation with compact density

Zhouping Xin, Z. Xin, 1998 .

On the decay properties of solutions to the non-stationary Navier–Stokes equations in R3

Z. Xin, Cheng He, 2001, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Boundary Layer Problems in the Viscosity-Diffusion Vanishing Limits for the Incompressible MHD Systems

Z. Xin, Shu Wang, 2017, 1706.07898.

Applications of Nevanlinna theory to geometric problems

S. Yau, Z. Xin, K. Lau, 2008 .

Asymptotic Stability of Shock Waves and Rarefaction Waves under Periodic Perturbations for 1-D Convex Scalar Conservation Laws

Yuan Yuan, Zhouping Xin, Qian Yuan, 2018, SIAM J. Math. Anal..

Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier–Stokes equations

Zhouping Xin, Z. Xin, Huihui Zeng, 2010 .

Pointwise Stability of Contact Discontinuity for Viscous Conservation Laws with General Perturbations

Z. Xin, Huihui Zeng, 2010 .

Fractional Rate of Convergence for Viscous Approximation to Nonconvex Conservation Laws

Tao Tang, Zhouping Xin, Zhen-huan Teng, 2003, SIAM J. Math. Anal..

Compactness methods and nonlinear hyperbolic conservation laws

Zhouping Xin, Ling Hsiao, Z. Xin, 2000 .

Initial Boundary Value Problem for Conservation Laws

Z. Xin, Marcelo M. Santos, P. T. Kan, 1997 .

On the linearized stability of viscous shock profiles for systems of conservation laws

Z. Xin, 1992 .

Stability of viscous shock waves associated with a system of nonstrictly hyperbolic conservations laws

Zhouping Xin, Tai-Ping Liu, Z. Xin, 1992 .

Nonlinear stability of viscous shock waves

Zhouping Xin, Anders Szepessy, Z. Xin, 1993 .

Overcompressive shock waves

Z. Xin, Tai-Ping Liu, 1990 .

From the Landau-de Gennes theory to the Ericksen-Leslie theory in dimension two

Zhouping Xin, Xiaotao Zhang, Z. Xin, 2021, 2105.10652.

Intelligent and informative scientific computing, trends and examples

Zhouping Xin, Shing-Tung Yau, Ka-Sing Lau, 2008 .

One-point singular solutions to the Navier-Stokes equations

Z. Xin, G. Tian, 1998 .

The transonic shock in a nozzle, 2-D and 3-D complete Euler systems

Z. Xin, Huicheng Yin, 2008 .

On the vanishing viscosity limit for the 3D Navier‐Stokes equations with a slip boundary condition

Z. Xin, Yue-long Xiao, 2007 .

Incompressible impinging jet flow with gravity

Z. Xin, Lili Du, Jianfeng Cheng, 2018, Calculus of Variations and Partial Differential Equations.

On an Elliptic Free Boundary Problem and Subsonic Jet Flows for a Given Surrounding Pressure

Zhouping Xin, Chunpeng Wang, Z. Xin, 2019, SIAM J. Math. Anal..

A P ] 4 A ug 2 01 8 INCOMPRESSIBLE IMPINGING JET FLOW WITH GRAVITY

Z. Xin, D. Lili, Jianfeng Cheng, 2018 .

Convergence of the point vortex method for 2-D vortex sheet

Zhouping Xin, Jian-Guo Liu, Z. Xin, 2001, Math. Comput..

Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data

Zhouping Xin, Jian-Guo Liu, Z. Xin, 1995 .

Existence of Vortex Sheets with¶Reflection Symmetry in Two Space Dimensions

Z. Xin, H. J. Nussenzveig Lopes, M. C. Lopes Filho, 2001 .

Vacuum states for compressible flow

Zhouping Xin, Tai-Ping Liu, Tong Yang, 1997 .

Large scale geometry, compactifications and the integral Novikov conjectures for arithmetic groups

S. Yau, Z. Xin, K. Lau, 2008 .

Vanishing Viscous Limits for 3D Navier–Stokes Equations with a Navier-Slip Boundary Condition

Z. Xin, Aibin Zang, Lizhen Wang, 2012, 1201.1986.

Zero-viscosity limit of the linearized Navier-Stokes equations for a compressible viscous fluid in the half-plane

Z. Xin, T. Yanagisawa, 1999 .

Blow-up criteria of strong solutions to the Ericksen-Leslie system in $\Bbb R^3$

Z. Xin, Min-Chun Hong, Jinkai Li, 2013, 1303.4488.

Existence and stability of cylindrical transonic shock solutions under three dimensional perturbations

Z. Xin, S. Weng, 2023, 2304.02429.

Nonlinear stability of discrete shocks for systems of conservation laws

Zhouping Xin, Jian-Guo Liu, Z. Xin, 1993 .

Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-D convex scalar viscous conservation laws

Yuan Yuan, Zhouping Xin, Qian Yuan, 2019, Indiana University Mathematics Journal.

Non-existence of Classical Solutions with Finite Energy to the Cauchy Problem of the Compressible Navier–Stokes Equations

Z. Xin, Hai-liang Li, Yuexun Wang, 2017, Archive for Rational Mechanics and Analysis.

Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in ℝ3

Zhouping Xin, Jinkai Li, Z. Xin, 2014 .

Global Weak Solutions to Non-isothermal Nematic Liquid Crystals in 2D

Z. Xin, Jinkai Li, 2013, 1307.2065.

Global existence of solutions of the liquid crystal flow for the Oseen–Frank model in R2

Zhouping Xin, Z. Xin, Min-Chun Hong, 2012 .

Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions

Zhouping Xin, Jiang Xu, Z. Xin, 2018, Journal of Differential Equations.

Ear modeling and sound signal processing

Zhouping Xin, Shing-Tung Yau, Ka-Sing Lau, 2008 .

Lagrange Structure and Dynamics for Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations

Zhenhua Guo, Z. Xin, Hai-liang Li, 2011, Communications in Mathematical Physics.

Lagrange Structure and Dynamics for Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations

Zhouping Xin, Zhenhua Guo, Hai-Liang Li, 2012 .

Axisymmetric Euler-$α$ Equations without Swirl: Existence, Uniqueness, and Radon Measure Valued Solutions

Z. Xin, E. Titi, Dongjuan Niu, 2009, 0907.2348.

Serrin-Type Criterion for the Three-Dimensional Viscous Compressible Flows

Jing Li, Zhouping Xin, Xiangdi Huang, 2010, SIAM J. Math. Anal..

Remarks on Gieseker’s degeneration and its normalization

S. Yau, Z. Xin, K. Lau, 2008 .

Global Entropy Solutions to Weakly Nonlinear Gas Dynamics

Z. Xin, Peng Qu, 2016, 1606.00555.

Long Time Existence of Entropy Solutions to the One-Dimensional Non-isentropic Euler Equations with Periodic Initial Data

Z. Xin, Peng Qu, 2015 .

Existence of Weak Solutions for a Two-dimensional Fluid-rigid Body System

Z. Xin, Yun Wang, 2013 .

Existence of Weak Solutions for a Two-dimensional Fluid-rigid Body System

Z. Xin, Yun Wang, 2012, Journal of Mathematical Fluid Mechanics.

Analyticity of the semigroup associated with the fluid–rigid body problem and local existence of strong solutions

Z. Xin, Yun Wang, 2011 .

On Blowup of Classical Solutions to the Compressible Navier-Stokes Equations

Z. Xin, Wei Yan, 2013 .

Global Shock Waves¶for the Supersonic Flow Past a Perturbed Cone

Z. Xin, Huicheng Yin, Shuxing Chen, 2002 .

Some Current Topics on Nonlinear Conservation Laws

Z. Xin, L. Hsiao, 2000 .

Uniform regularity for the free surface compressible Navier-Stokes equations with or without surface tension

Z. Xin, Yong Wang, Yu Mei, 2015, 1504.01084.

Vanishing Viscosity and Surface Tension Limits of Incompressible Viscous Surface Waves

Zhouping Xin, Yanjin Wang, Z. Xin, 2015, SIAM J. Math. Anal..

Smooth Approximations and Exact Solutions of the 3D Steady Axisymmetric Euler Equations

Z. Xin, Q. Jiu, 2009 .

Regular subsonic-sonic flows in general nozzles

Zhouping Xin, Chunpeng Wang, Z. Xin, 2021 .

Two Dimensional Subsonic Euler Flows Past a Wall or a Symmetric Body

Z. Xin, Chunjing Xie, Lili Du, 2014, 1410.1991.

Steady Subsonic Ideal Flows Through an Infinitely Long Nozzle with Large Vorticity

Z. Xin, Chunjing Xie, Lili Du, 2014 .

Subsonic Flows in a Multi-Dimensional Nozzle

Zhouping Xin, Lili Du, Z. Xin, 2011, 1101.3685.

Existence of Global Steady Subsonic Euler Flows Through Infinitely Long Nozzles

Chunjing Xie, Zhouping Xin, Z. Xin, 2009, SIAM J. Math. Anal..

Global Subsonic and Subsonic-Sonic Flows through Infinitely Long Axially Symmetric Nozzles

Chunjing Xie, Zhouping Xin, Z. Xin, 2009, 0907.3274.

Global subsonic and subsonic-sonic flows through infinitely long nozzles

Chunjing Xie, Zhouping Xin, Z. Xin, 2007 .

Ancient solutions to Kähler-Ricci flow

S. Yau, Z. Xin, K. Lau, 2008 .

Vanishing of Vacuum States and Blow-up Phenomena of the Compressible Navier-Stokes Equations

Zhouping Xin, Jing Li, Hai-Liang Li, 2008, 0811.3818.

Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data☆

Z. Xin, Jing Li, F. Huang, 2006 .

Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows

Z. Xin, Jing Li, 2006 .

Global Weak Solutions to 1D Compressible Isentropic Navier-Stokes Equations with Density-Dependent Viscosity

Zhouping Xin, Ping Zhang, Song Jiang, 2005 .

Global Existence of Weak Solutions to the Barotropic Compressible Navier-Stokes Flows with Degenerate Viscosities

Z. Xin, Jing Li, 2015, 1504.06826.

The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients

Zhouping Xin, Quansen Jiu, Z. Xin, 2008 .

Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients

Quansen Jiu, Zhenhua Guo, Zhouping Xin, 2008, SIAM J. Math. Anal..

Transonic Shocks for the Full Compressible Euler System in a General Two-Dimensional De Laval Nozzle

Z. Xin, Jun Li, Huicheng Yin, 2013 .

Instantaneous unboundedness of the entropy and uniform positivity of the temperature for the compressible Navier-Stokes equations with fast decay density

Z. Xin, Jinkai Li, 2023, 2301.00627.

Global Well-posedness and Regularity of Weak Solutions to the Prandtl's System

Z. Xin, Junning Zhao, Liqun Zhang, 2022, 2203.08988.

On the global existence of solutions to the Prandtl's system

Zhouping Xin, Liqun Zhang, Z. Xin, 2004 .

Incompressible inviscid resistive MHD surface waves in 2D

Z. Xin, Yanjin Wang, 2018, 1801.04694.

Well-Posedness for the Motion of Physical Vacuum of the Three-dimensional Compressible Euler Equations with or without Self-Gravitation

Z. Xin, T. Luo, Huihui Zeng, 2014, Archive for Rational Mechanics and Analysis.

Well-Posedness for the Motion of Physical Vacuum of the Three-dimensional Compressible Euler Equations with or without Self-Gravitation

Z. Xin, T. Luo, Huihui Zeng, 2014, 1402.3640.

Stiff Well-Posedness and Asymptotic Convergence for a Class of Linear Relaxation Systems in a Quarter Plane

Z. Xin, Wen-Qing Xu, 2000 .

Global existence of solutions of the Liquid Crystal flow for the Oseen-Frank model

Z. Xin, Min-Chun Hong, 2010, 1010.4083.

Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing viscosity limit

Z. Xin, Xiao Ping Wang, Ya-Guang Wang, 2010 .

On the vanishing dissipation limit for the incompressible MHD equations on bounded domains

Zhouping Xin, Yuelong Xiao, Qin Duan, 2020, Science China Mathematics.

On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum

Z. Xin, Q. Duan, Shengguo Zhu, 2022, Archive for Rational Mechanics and Analysis.

Structural Stability of the Transonic Shock Problem in a Divergent Three-Dimensional Axisymmetric Perturbed Nozzle

Chunjing Xie, Zhouping Xin, Shangkun Weng, 2019, SIAM J. Math. Anal..

Subsonic Irrotational Flows in a Finitely Long Nozzle with Variable end Pressure

Z. Xin, S. Weng, Lili Du, 2014 .

Correction to: Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions

Z. Xin, S. Ding, Quanrong Li, 2022, Journal of Mathematical Fluid Mechanics.

Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions

Z. Xin, S. Ding, Quanrong Li, 2017, Journal of Mathematical Fluid Mechanics.

Issue Information

Z. Xin, G. Roach, W. Sprößig, 2018, Mathematical Methods in the Applied Sciences.

Mathematical modelling of microelectronics semiconductor devices

Zhouping Xin, Ling Hsiao, Z. Xin, 2000 .

Well-posedness of classical solutions to the vacuum free boundary problem of the viscous Saint-Venant system for shallow waters

Z. Xin, Yuexun Wang, Hai-liang Li, 2022, 2202.06340.

Two Dimensional Subsonic Euler Flows Past a Wall or a Symmetric Body

Z. Xin, Chunjing Xie, Chao-Ping Chen, 2016, Archive for Rational Mechanics and Analysis.

Stability of Transonic Shock Solutions for One-Dimensional Euler–Poisson Equations

Chunjing Xie, Zhouping Xin, Jeffrey Rauch, 2010, 1008.0378.

On a Degenerate Free Boundary Problem and Continuous Subsonic–Sonic Flows in a Convergent Nozzle

Zhouping Xin, Chunpeng Wang, Z. Xin, 2013 .

Optimal Hölder Continuity for a Class of Degenerate Elliptic Problems with an Application to Subsonic-Sonic Flows

Zhouping Xin, Chunpeng Wang, Z. Xin, 2010 .

Interface Behavior of Compressible Navier-Stokes Equations with Vacuum

Zhouping Xin, Tao Luo, Tong Yang, 2000, SIAM J. Math. Anal..

Global Well-Posedness and Large Time Asymptotic Behavior of Classical Solutions to the Compressible Navier–Stokes Equations with Vacuum

Z. Xin, Jing Li, 2013, Annals of PDE.

Homogeneity Criterion for the Navier-Stokes Equations in the Whole Spaces

Z. Xin, Zhi Chen, 2001 .

Global Smooth Supersonic Flows in Infinite Expanding Nozzles

Zhouping Xin, Chunpeng Wang, Z. Xin, 2014, SIAM J. Math. Anal..

Smooth Transonic Flows in De Laval Nozzles

Zhouping Xin, Chunpeng Wang, Z. Xin, 2013, 1304.2473.

Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem with Degenerate Density Dependent Viscosities

Z. Xin, Huihui Zeng, Tao Luo, 2016, Communications in Mathematical Physics.

VACUUM STATE FOR SPHERICALLY SYMMETRIC SOLUTIONS OF THE COMPRESSIBLE NAVIER–STOKES EQUATIONS

Z. Xin, Hongjun Yuan, 2006 .

Vacuum Problem of One-Dimensional Compressible Navier–Stokes Equations

Z. Xin, J. Li, Hai-liang Li, 2008 .

Global well-posedness of regular solutions to the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum

Zhouping Xin, Shengguo Zhu, Z. Xin, 2018, Advances in Mathematics.

A blow-up criterion for classical solutions to the compressible Navier-Stokes equations

Zhouping Xin, Xiangdi Huang, Z. Xin, 2009, 0903.3090.

Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases

Zhouping Xin, Z. Xin, 1993 .

On some smooth symmetric transonic flows with nonzero angular velocity and vorticity

Zhouping Xin, Shangkun Weng, Hongwei Yuan, 2021, Mathematical Models and Methods in Applied Sciences.

On Sonic Curves of Smooth Subsonic-Sonic and Transonic Flows

Zhouping Xin, Chunpeng Wang, Z. Xin, 2016, SIAM J. Math. Anal..

On transonic shocks in a conic divergent nozzle with axi-symmetric exit pressures

Z. Xin, Jun Li, Huicheng Yin, 2010 .

Three-dimensional transonic shocks in a nozzle

Z. Xin, Huicheng Yin, 2008 .

Steady Subsonic Ideal Flows Through an Infinitely Long Nozzle with Large Vorticity

Z. Xin, Chunjing Xie, Lili Du, 2014, Communications in Mathematical Physics.

On strong convergence to 3D steady vortex sheets

Z. Xin, Q. Jiu, 2007 .

On the Strong Convergence of the Approximate Solutions for the 3-D Steady Euler Equations with Axial-Symmetry

Z. Xin, Q. Jiu, 2005 .

Set addition and set multiplication

S. Yau, Z. Xin, K. Lau, 2008 .

The Boltzmann Equation with Soft Potentials Near a Local Maxwellian

Z. Xin, Tong Yang, Hongjun Yu, 2012 .

Vacuum Behaviors around Rarefaction Waves to 1D Compressible Navier-Stokes Equations with Density-Dependent Viscosity

Z. Xin, Yi Wang, Q. Jiu, 2011, SIAM J. Math. Anal..