Z
Zhouping Xin
Researcher at The Chinese University of Hong Kong
Publications - 254
Citations - 11885
Zhouping Xin is an academic researcher from The Chinese University of Hong Kong. The author has contributed to research in topics: Boundary value problem & Euler equations. The author has an hindex of 55, co-authored 242 publications receiving 10390 citations. Previous affiliations of Zhouping Xin include Royal Institute of Technology & Capital Normal University.
Papers
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The relaxation schemes for systems of conservation laws in arbitrary space dimensions
Shi Jin,Zhouping Xin +1 more
TL;DR: A linear hyperbolic system is constructed with a stiff lower order term that approximates the original system with a small dissipative correction and can be solved by underresolved stable numerical discretizations without using either Riemann solvers spatially or a nonlinear system of algebraic equations solvers temporally.
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On the weak solutions to a shallow water equation
TL;DR: In this paper, the existence of weak solutions to the Cauchy problem for a one-dimensional shallow-water equation that is formally integrable and can be obtained by approximating directly the Hamiltonian for Euler's equation in the shallowwater regime was obtained.
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Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
TL;DR: In this paper, it was shown that any smooth solution to the Navier-Stokes equations for polytropic fluids in the absence of heat conduction will blow up in finite time as long as the initial densities have compact support.
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On the regularity of weak solutions to the magnetohydrodynamic equations
Cheng He,Zhouping Xin +1 more
TL;DR: In this article, the authors studied the regularity of weak solutions to the magneto-hydrodynamic equations, which is similar to that of the Navier-Stokes equations.
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Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
TL;DR: In this article, the authors established the global existence and uniqueness of classical solutions to the Cauchy problem for the isentropic compressible Navier-Stokes equations in three spatial dimensions with smooth initial data that are of small energy but possibly large oscillations with constant state as far field.