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- Yuxi Zheng

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
36
Citations
4,095
66
World Ranking
1825
National Ranking
782

- Mathematical analysis
- Partial differential equation
- Differential equation

Yuxi Zheng mainly focuses on Mathematical analysis, Riemann problem, Hyperbolic partial differential equation, Euler system and Weak solution. Mathematical analysis and Vortex sheet are commonly linked in his work. His Riemann problem study combines topics from a wide range of disciplines, such as Polytropic process and Flux limiter.

His Hyperbolic partial differential equation study combines topics in areas such as Burgers' equation, Parabolic partial differential equation and First-order partial differential equation. His Euler system research integrates issues from Riemann hypothesis, Riemann invariant, Godunov's scheme and Euler's formula. Yuxi Zheng regularly ties together related areas like Elliptic partial differential equation in his Weak solution studies.

- Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws (223 citations)
- On a completely integrable nonlinear hyperbolic variational equation (194 citations)
- Conjecture on the structure of solutions of the Riemann problem for two-dimensional gas dynamics systems (158 citations)

The scientist’s investigation covers issues in Mathematical analysis, Wave equation, Riemann problem, Euler equations and Weak solution. His studies link Nonlinear system with Mathematical analysis. The Wave equation study combines topics in areas such as Gravitational singularity, Young measure and Eikonal equation.

His work deals with themes such as Conservation law and Pressure gradient, which intersect with Riemann problem. His study in Euler equations is interdisciplinary in nature, drawing from both Hodograph, Vorticity and Classical mechanics. His studies deal with areas such as Vortex sheet, Numerical analysis, Limit and Lipschitz continuity as well as Weak solution.

- Mathematical analysis (94.29%)
- Wave equation (28.57%)
- Riemann problem (28.57%)

- Mathematical analysis (94.29%)
- Euler equations (28.57%)
- Liquid crystal (8.57%)

Yuxi Zheng mainly investigates Mathematical analysis, Euler equations, Liquid crystal, Wave equation and Space dimension. In his works, Yuxi Zheng conducts interdisciplinary research on Mathematical analysis and Transonic. His work investigates the relationship between Euler equations and topics such as Hodograph that intersect with problems in Euler method.

His research on Wave equation often connects related topics like Weak solution. His studies in Weak solution integrate themes in fields like Hyperbolic partial differential equation, Variational equation, Hyperbolic systems and Lipschitz continuity. Yuxi Zheng focuses mostly in the field of Space dimension, narrowing it down to topics relating to Classical mechanics and, in certain cases, Singularity.

- Interaction of Four Rarefaction Waves in the Bi-Symmetric Class of the Two-Dimensional Euler Equations (55 citations)
- Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations (49 citations)
- The interaction of rarefaction waves of the two-dimensional Euler equations (40 citations)

- Mathematical analysis
- Partial differential equation
- Geometry

His primary areas of investigation include Mathematical analysis, Euler equations, Hodograph, Space and Planar. His work on Nonlinear system expands to the thematically related Mathematical analysis. His research on Nonlinear system frequently connects to adjacent areas such as Airfoil.

Space is closely attributed to Transformation in his study. The study incorporates disciplines such as Euler method and Riemann problem in addition to Backward Euler method. His work carried out in the field of Lipschitz continuity brings together such families of science as Hyperbolic partial differential equation, Hyperbolic systems and Weak solution.

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.

Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws

Dechun Tan;Tong Zhang;Tung Chang;Yuxi Zheng.

Journal of Differential Equations **(1994)**

363 Citations

Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws

Dechun Tan;Tong Zhang;Tung Chang;Yuxi Zheng.

Journal of Differential Equations **(1994)**

363 Citations

On a completely integrable nonlinear hyperbolic variational equation

John K. Hunter;Yuxi Zheng.

Physica D: Nonlinear Phenomena **(1994)**

294 Citations

On a completely integrable nonlinear hyperbolic variational equation

John K. Hunter;Yuxi Zheng.

Physica D: Nonlinear Phenomena **(1994)**

294 Citations

Conjecture on the structure of solutions of the Riemann problem for two-dimensional gas dynamics systems

Tong Zhang;Yuxi Zheng.

Siam Journal on Mathematical Analysis **(1990)**

262 Citations

Conjecture on the structure of solutions of the Riemann problem for two-dimensional gas dynamics systems

Tong Zhang;Yuxi Zheng.

Siam Journal on Mathematical Analysis **(1990)**

262 Citations

Systems of Conservation Laws: Two-Dimensional Riemann Problems

Yuxi Zheng.

**(2001)**

155 Citations

Systems of Conservation Laws: Two-Dimensional Riemann Problems

Yuxi Zheng.

**(2001)**

155 Citations

On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions

John K. Hunter;John K. Hunter;Yuxi Zheng;Yuxi Zheng.

Archive for Rational Mechanics and Analysis **(1995)**

151 Citations

On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions

John K. Hunter;John K. Hunter;Yuxi Zheng;Yuxi Zheng.

Archive for Rational Mechanics and Analysis **(1995)**

151 Citations

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