What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (94.29%)
- Wave equation (28.57%)
- Riemann problem (28.57%)
What were the highlights of his more recent work (between 2009-2016)?
- Mathematical analysis (94.29%)
- Euler equations (28.57%)
- Liquid crystal (8.57%)
In recent papers he was focusing on the following fields of study:
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.
Between 2009 and 2016, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
