World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

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

Tong Yang publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Tong Yang sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 232 publications — 72nd percentile

72% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Tong Yang D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Tong Yang sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 62 D-Index — 87th percentile

87% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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