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Mathematics

D-Index
67
Citations
15856
World Ranking
340
National Ranking
15

Research.com Recognitions

  • 1991 - Fellow of Alfred P. Sloan Foundation

Overview

Zhouping Xin is affiliated with the Chinese University of Hong Kong in China and conducts research primarily in the fields of Mathematics and Engineering. Their work is centered largely on applied mathematics with a significant focus on computational mechanics and mathematical physics.

The main topics covered in their research include:

  • Navier-Stokes equation solutions
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Physics Problems
  • Gas Dynamics and Kinetic Theory
  • Fluid Dynamics and Turbulent Flows
  • Geometric Analysis and Curvature Flows
  • Stability and Controllability of Differential Equations

Zhouping Xin has contributed extensively to literature on compressible Navier-Stokes equations and fluid dynamics. Selected recent publications are:

  • Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions, 2020, Journal of Differential Equations
  • Global well-posedness of regular solutions to the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum, 2021, Advances in Mathematics
  • Well-posedness of the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and far field vacuum, 2021, Journal de Mathématiques Pures et Appliquées

Frequent coauthors of Zhouping Xin include Shangkun Weng, Jinkai Li, Shengguo Zhu, Hongwei Yuan, and Qin Duan. These collaborations have contributed to research development in mathematical analysis and fluid dynamics.

Zhouping Xin's work is commonly published in venues such as:

  • arXiv (Cornell University)
  • Advances in Mathematics
  • SIAM Journal on Mathematical Analysis
  • Journal of Differential Equations
  • Communications on Pure and Applied Mathematics

In recognition of professional accomplishments, Zhouping Xin was named a Fellow of the Alfred P. Sloan Foundation in 1991.

Best Publications

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

    Shi Jin;Zhouping Xin

  • On the weak solutions to a shallow water equation

    Zhouping Xin;Zhouping Xin;Ping Zhang;Ping Zhang

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

    Zhouping Xin

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

    Xiangdi Huang;Jing Li;Zhouping Xin

  • On the regularity of weak solutions to the magnetohydrodynamic equations

    Cheng He;Zhouping Xin

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

    Zhouping Xin;Liqun Zhang

  • On the vanishing viscosity limit for the 3D navier-stokes equations with a slip boundary condition

    Yuelong Xiao;Yuelong Xiao;Zhouping Xin;Zhouping Xin

  • Vacuum states for compressible flow

    Tai-Ping Liu;Zhouping Xin;Tong Yang

  • Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations

    Cheng He;Zhouping Xin

  • Nonlinear stability of viscous shock waves

    Anders Szepessy;Zhouping Xin

  • Viscous limits for piecewise smooth solutions to systems of conservation laws

    Jonathan Goodman;Zhouping Xin

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

    Song Jiang;Zhouping Xin;Ping Zhang

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

    Hai-Liang Li;Hai-Liang Li;Jing Li;Jing Li;Zhouping Xin;Zhouping Xin

  • Nonlinear stability of rarefaction waves for compressible Navier Stokes equations

    Tai-Ping Liu;Zhou Ping Xin

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

    Xiangdi Huang;Jing Li;Zhouping Xin

  • Contact discontinuity with general perturbations for gas motions

    Feimin Huang;Zhou Ping Xin;Tong Yang

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

    Zhouping Xin;Ping Zhang

  • Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients

    Zhenhua Guo;Quansen Jiu;Zhouping Xin

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

    Zhouping Xin;Wei Yan

  • Global subsonic and subsonic-sonic flows through infinitely long nozzles

    Chunjing Xie;Zhou Ping Xin

  • Large time behavior of the solutions to a hydrodynamic model for semiconductors

    Tao Luo;Roberto Natalini;Zhouping Xin

Frequent Co-Authors

Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Jeffrey Rauch
Jeffrey Rauch University of Michigan–Ann Arbor
Tai-Ping Liu
Tai-Ping Liu Stanford University
Edriss S. Titi
Edriss S. Titi Texas A&M University
Tong Yang
Tong Yang City University of Hong Kong
Feimin Huang
Feimin Huang Chinese Academy of Sciences
Shi Jin
Shi Jin Shanghai Jiao Tong University
Chun-Lei Tang
Chun-Lei Tang Southwest University
Joel Smoller
Joel Smoller University of Michigan–Ann Arbor
Liqun Zhang
Liqun Zhang Xi'an Jiaotong University

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