World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
62
Citations
10543
World Ranking
489
National Ranking
23

Research.com Recognitions

  • 2021 - Fellow of the American Mathematical Society For contributions to hyperbolic conservation laws and kinetic equations.

Overview

Tong Yang is affiliated with the Hong Kong Polytechnic University in China and has contributed extensively to the fields of Mathematics and Engineering, with a focus on Applied Mathematics, Mathematical Physics, and Computational Mechanics. Their research integrates concepts from Gas Dynamics and Kinetic Theory, Navier-Stokes equation solutions, and Advanced Mathematical Physics Problems, reflecting a broad interest in fluid dynamics and related areas.

The scientist's publication record spans a variety of high-impact venues. Frequent publication venues include arXiv (Cornell University), SIAM Journal on Mathematical Analysis, Journal of Functional Analysis, Archive for Rational Mechanics and Analysis, and Scientific Reports.

  • arXiv (Cornell University)
  • SIAM Journal on Mathematical Analysis
  • Journal of Functional Analysis
  • Archive for Rational Mechanics and Analysis
  • Scientific Reports

Tong Yang has worked collaboratively with a number of co-authors, including Shuangqian Liu, Cheng-Jie Liu, Wei-Xi Li, Renjun Duan, and Zhu Zhang. These collaborations have contributed to a rich body of research papers.

  • Shuangqian Liu
  • Cheng-Jie Liu
  • Wei-Xi Li
  • Renjun Duan
  • Zhu Zhang

Their recent publications reflect ongoing work in magnetohydrodynamics, boundary layer theory, and kinetic equations:

  • Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces, 2020, Journal of Functional Analysis
  • Well-Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption, 2021, Communications on Pure and Applied Mathematics
  • Non-cutoff Boltzmann equation with polynomial decay perturbations, 2020, Revista Matemática Iberoamericana
  • Well-posedness of the MHD Boundary Layer System in Gevrey Function Space without Structural Assumption, 2021, SIAM Journal on Mathematical Analysis
  • Uniform regularity and vanishing viscosity limit for the incompressible non-resistive MHD system with TMF, 2021, Communications on Pure & Applied Analysis

Tong Yang's research addresses specific topics including Computational Fluid Dynamics and Aerodynamics, Fluid Dynamics and Turbulent Flows, Numerical Methods in Inverse Problems, and Particle Dynamics in Fluid Flows.

  • Gas Dynamics and Kinetic Theory
  • Navier-Stokes equation solutions
  • Advanced Mathematical Physics Problems
  • Computational Fluid Dynamics and Aerodynamics
  • Fluid Dynamics and Turbulent Flows
  • Numerical methods in inverse problems
  • Particle Dynamics in Fluid Flows

In 2021, Tong Yang was recognized as a Fellow of the American Mathematical Society for contributions to hyperbolic conservation laws and kinetic equations, reflecting their role in advancing mathematical understanding in these areas.

Best Publications

  • Vacuum states for compressible flow

    Tai-Ping Liu;Zhouping Xin;Tong Yang

  • Energy method for Boltzmann equation

    Tai-Ping Liu;Tai-Ping Liu;Tong Yang;Shih-Hsien Yu

  • L1-stability estimates for n x n conservation laws

    Alberto Bressan;Tai Ping Liu;Tong Yang

  • Well-posedness of the Prandtl equation in Sobolev spaces

    Radjesvarane Alexandre;Ya-Guang Wang;Chao-Jiang Xu;Tong Yang

  • Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum

    Tong Yang;Changjiang Zhu

  • The Pointwise Estimates of Solutions for Euler Equations with Damping in Multi-Dimensions

    Weike Wang;Tong Yang

  • OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES

    Renjun Duan;Seiji Ukai;Tong Yang;Huijiang Zhao

  • COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM

    Tong Yang;Zheng-an Yao;Changjiang Zhu

  • Contact discontinuity with general perturbations for gas motions

    Feimin Huang;Zhou Ping Xin;Tong Yang

  • Optimal Lp–Lq convergence rates for the compressible Navier–Stokes equations with potential force

    Renjun Duan;Hongxia Liu;Seiji Ukai;Tong Yang

  • The Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential

    Radjesvarane Alexandre;Yoshinori Morimoto;Seiji Ukai;Chao-Jiang Xu

  • A Vacuum Problem for the One-Dimensional Compressible Navier–Stokes Equations with Density-Dependent Viscosity

    Tong Yang;Huijiang Zhao

  • Lp-Convergence Rate to Nonlinear Diffusion Waves for p-System with Damping

    Kenji Nishihara;Weike Wang;Tong Yang

  • Regularizing Effect and Local Existence for the Non-Cutoff Boltzmann Equation

    Radjesvarane Alexandre;Yoshinori Morimoto;Seiji Ukai;Chao-Jiang Xu;Chao-Jiang Xu

  • Interface behavior of compressible Navier-Stokes equations with vacuum

    Tao Luo;Zhouping Xin;Tong Yang

  • Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations

    Kenji Nishihara;Tong Yang;Huijiang Zhao

  • REGULARITY OF SOLUTIONS TO THE SPATIALLY HOMOGENEOUS BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF

    Yoshinori Morimoto;Seiji Ukai;Chao-Jiang Xu;Tong Yang

  • Global existence and full regularity of the Boltzmann equation without angular cutoff

    Radjesvarane Alexandre;Radjesvarane Alexandre;Yoshinori Morimoto;Seiji Ukai;Chao-Jiang Xu;Chao-Jiang Xu

  • Compressible Euler Equations with Vacuum

    Tai-Ping Liu;Tong Yang

  • Solutions of Euler-Poisson Equations¶for Gaseous Stars

    Yinbin Deng;Tai-Ping Liu;Tong Yang;Zheng-an Yao

  • Compressible Navier–Stokes equations with degenerate viscosity coefficient and vacuum (II)

    Seak-Weng Vong;Seak-Weng Vong;Tong Yang;Changjiang Zhu;Changjiang Zhu

Frequent Co-Authors

Seiji Ukai
Seiji Ukai Kyoto University
Renjun Duan
Renjun Duan Chinese University of Hong Kong
Tai-Ping Liu
Tai-Ping Liu Stanford University
Feimin Huang
Feimin Huang Chinese Academy of Sciences
Alberto Bressan
Alberto Bressan Pennsylvania State University
Zhouping Xin
Zhouping Xin Chinese University of Hong Kong
Pierre Degond
Pierre Degond Toulouse Mathematics Institute
Nader Masmoudi
Nader Masmoudi Courant Institute of Mathematical Sciences
Hongjie Dong
Hongjie Dong Brown University
Claude Bardos
Claude Bardos Université Paris Cité

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