World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
41
Citations
5052
World Ranking
1961
National Ranking
828

Overview

Yuxi Zheng is affiliated with Pennsylvania State University in the United States. The main area of research encompasses engineering, with a focus on computational mechanics, building and construction, global and planetary change, applied mathematics, and mathematical physics. Zheng's work covers several specialized topics within these fields, including computational fluid dynamics and aerodynamics, building energy and comfort optimization, fluid dynamics and turbulent flows, Navier-Stokes equation solutions, advanced mathematical physics problems, thermoregulation and physiological responses, and urban heat island mitigation.

Recent scholarly publications by Zheng include:

  • Skin protective effects of acid-stress sorghum fermentation by extremophile Monascus pilosus against UV-induced inflammation and photoaging, 2024, BioResources
  • Critical dynamic characteristics of brain activity in thermal comfort state, 2023, Building and Environment
  • Research on the Preferred Illuminance in Office Environments Based on EEG, 2023, Buildings
  • A Direct Eulerian GRP Scheme for a Blood Flow Model in Arteries, 2021, SIAM Journal on Scientific Computing
  • Interaction of the elementary waves for shallow water equations with discontinuous topography, 2021, Communications in Mathematical Sciences

Frequent coauthors collaborating with Zheng include Wancheng Sheng, Mingli Lu, Songtao Hu, and Qinglong Zhang.

The publication venues where Zheng's work appears most often are:

  • arXiv (Cornell University)
  • Building and Environment
  • Buildings
  • SIAM Journal on Scientific Computing
  • Communications in Mathematical Sciences

Zheng's research contributions integrate computational approaches and applied mathematics to address challenges in fluid dynamics, thermal comfort, and environmental conditions related to building design and physiological responses. The multidisciplinary scope bridges engineering principles with mathematical modeling for physical and biological systems.

Best Publications

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

    Dechun Tan;Tong Zhang;Tung Chang;Yuxi Zheng

  • On a completely integrable nonlinear hyperbolic variational equation

    John K. Hunter;Yuxi Zheng

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

    Tong Zhang;Yuxi Zheng

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

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

  • Systems of Conservation Laws: Two-Dimensional Riemann Problems

    Yuxi Zheng

  • Interaction of Rarefaction Waves of the Two-Dimensional Self-Similar Euler Equations

    Jiequan Li;Yuxi Zheng

  • Simple Waves and a Characteristic Decomposition of the Two Dimensional Compressible Euler Equations

    Jiequan Li;Tong Zhang;Yuxi Zheng

  • Effect of solutes on dislocation motion - A phase-field simulation

    S.Y. Hu;Y.L. Li;Y.X. Zheng;L.Q. Chen

  • Conservative Solutions to a Nonlinear Variational Wave Equation

    Alberto Bressan;Yuxi Zheng

  • Interaction of Four Rarefaction Waves in the Bi-Symmetric Class of the Two-Dimensional Euler Equations

    Jiequan Li;Yuxi Zheng

  • Weak solutions to a nonlinear variational wave equation

    Ping Zhang;Yuxi Zheng

  • Singularities of a Variational Wave Equation

    Robert T. Glassey;John K. Hunter;Yuxi Zheng

  • Existence and Uniqueness of Solutions¶of an Asymptotic Equation¶Arising from a Variational Wave Equation¶with General Data

    Ping Zhang;Yuxi Zheng

  • On a nonlinear hyperbolic variational equation: II. The zero-viscosity and dispersion limits

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

  • Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations

    Jiequan Li;Zhicheng Yang;Zhicheng Yang;Yuxi Zheng

  • Weak solutions to a nonlinear variational wave equation with general data

    Ping Zhang;Yuxi Zheng

  • Existence of global weak solutions to one-component vlasov-poisson and fokker-planck-poisson systems in one space dimension with measures as initial data

    Yuxi Zheng;Andrew Majda

  • Asymptotic Variational Wave Equations

    Alberto Bressan;Ping Zhang;Yuxi Zheng

  • Two-Dimensional Regular Shock Reflection for the Pressure Gradient System of Conservation Laws

    Yuxi Zheng

  • Semi-hyperbolic Patches of Solutions to the Two-dimensional Euler Equations

    Mingjie Li;Mingjie Li;Yuxi Zheng

  • On oscillations of an asymptotic equation of a nonlinear variational wave equation

    Ping Zhang;Yuxi Zheng

Frequent Co-Authors

Alberto Bressan
Alberto Bressan Pennsylvania State University
Andrew J. Majda
Andrew J. Majda Courant Institute of Mathematical Sciences
Xiuli Chao
Xiuli Chao University of Michigan–Ann Arbor
Long Qing Chen
Long Qing Chen Pennsylvania State University
Shenyang Y. Hu
Shenyang Y. Hu Pacific Northwest National Laboratory
John Lowengrub
John Lowengrub University of California, Irvine
James Glimm
James Glimm Stony Brook University
Yanping Li
Yanping Li Harvard University

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