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- Zhouping Xin

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
59
Citations
12,585
220
World Ranking
417
National Ranking
19

1991 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Quantum mechanics
- Geometry

His primary areas of investigation include Mathematical analysis, Compressibility, Navier–Stokes equations, Euler equations and Weak solution. His study in Isentropic process extends to Mathematical analysis with its themes. His work carried out in the field of Compressibility brings together such families of science as Bounded function and Magnetic field.

He combines subjects such as Boundary value problem and Interval with his study of Navier–Stokes equations. His Euler equations research includes elements of Polytropic process and Inviscid flow. The various areas that he examines in his Weak solution study include Classical mechanics, Weak formulation, Shallow water equations, Magnetohydrodynamic drive and Vector field.

- The relaxation schemes for systems of conservation laws in arbitrary space dimensions (741 citations)
- On the weak solutions to a shallow water equation (438 citations)
- On the weak solutions to a shallow water equation (438 citations)

Zhouping Xin mainly investigates Mathematical analysis, Compressibility, Boundary value problem, Euler equations and Mechanics. His Mathematical analysis research focuses on Navier–Stokes equations and how it relates to Viscosity. His Compressibility research is multidisciplinary, relying on both Arbitrarily large, Classical mechanics and Barotropic fluid.

His studies deal with areas such as Slip, Boundary and Inviscid flow as well as Boundary value problem. The concepts of his Euler equations study are interwoven with issues in Vortex and Rarefaction. His Mechanics study combines topics from a wide range of disciplines, such as Geometry and Nozzle.

- Mathematical analysis (77.26%)
- Compressibility (27.08%)
- Boundary value problem (22.38%)

- Mathematical analysis (77.26%)
- Compressibility (27.08%)
- Mechanics (13.00%)

Zhouping Xin spends much of his time researching Mathematical analysis, Compressibility, Mechanics, Euler system and Boundary value problem. His Mathematical analysis research integrates issues from Exponential stability and Nonlinear system. His Compressible navier stokes equations study, which is part of a larger body of work in Compressibility, is frequently linked to Finite time, bridging the gap between disciplines.

His Mechanics study integrates concerns from other disciplines, such as Surface wave, Surface tension and Euler equations. His research integrates issues of Angular velocity and Shock in his study of Boundary value problem. The Initial value problem study which covers Uniqueness that intersects with Vector field.

- Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem with Degenerate Density Dependent Viscosities (43 citations)
- On nonlinear asymptotic stability of the Lane–Emden solutions for the viscous gaseous star problem (40 citations)
- On the uniqueness of weak solutions to the Ericksen–Leslie liquid crystal model in ℝ2 (31 citations)

- Mathematical analysis
- Quantum mechanics
- Geometry

Zhouping Xin mainly focuses on Mathematical analysis, Compressibility, Initial value problem, Uniqueness and Degenerate energy levels. His study on Lipschitz continuity is often connected to Liquid crystal as part of broader study in Mathematical analysis. His work deals with themes such as Cauchy problem, Arbitrarily large and Boundary value problem, which intersect with Compressibility.

His Initial value problem research incorporates themes from Ideal gas, Bounded function, Sobolev space, Thermal conduction and Entropy. Zhouping Xin focuses mostly in the field of Uniqueness, narrowing it down to topics relating to Vector field and, in certain cases, Stagnation point, Stream function, Vorticity and Critical value. Zhouping Xin has researched Degenerate energy levels in several fields, including Flow and Velocity potential.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

Shi Jin;Zhouping Xin.

Communications on Pure and Applied Mathematics **(1995)**

1166 Citations

On the weak solutions to a shallow water equation

Zhouping Xin;Zhouping Xin;Ping Zhang;Ping Zhang.

Communications on Pure and Applied Mathematics **(2000)**

694 Citations

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

Zhouping Xin.

Communications on Pure and Applied Mathematics **(1998)**

617 Citations

On the regularity of weak solutions to the magnetohydrodynamic equations

Cheng He;Zhouping Xin.

Journal of Differential Equations **(2005)**

576 Citations

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.

Communications on Pure and Applied Mathematics **(2012)**

529 Citations

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

Yuelong Xiao;Yuelong Xiao;Zhouping Xin;Zhouping Xin.

Communications on Pure and Applied Mathematics **(2007)**

293 Citations

Vacuum states for compressible flow

Tai-Ping Liu;Zhouping Xin;Tong Yang.

Discrete and Continuous Dynamical Systems **(1997)**

292 Citations

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

Zhouping Xin;Liqun Zhang.

Advances in Mathematics **(2004)**

279 Citations

Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations

Cheng He;Zhouping Xin.

Journal of Functional Analysis **(2005)**

269 Citations

Nonlinear stability of viscous shock waves

Anders Szepessy;Zhouping Xin.

Archive for Rational Mechanics and Analysis **(1993)**

257 Citations

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