World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
61
Citations
13043
World Ranking
518
National Ranking
272

Tai-Ping Liu 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 Tai-Ping Liu 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: 83 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: 219 publications — 69th percentile

69% of scientists in this discipline score the same or lower.

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

Tai-Ping Liu 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 Tai-Ping Liu 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: 138 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: 61 D-Index — 86th percentile

86% 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

  • 2014 - SIAM Fellow For advances in the theory of shock waves and kinetic theory.
  • 2013 - Fellow of the American Mathematical Society
  • 2006 - Fellow, The World Academy of Sciences
  • 1982 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1979 - Fellow of Alfred P. Sloan Foundation

Overview

Tai-Ping Liu is affiliated with Stanford University in the United States. Their research primarily focuses on mathematics and engineering, with a concentration in applied mathematics and computational mechanics. The scientist's work also extends into mathematical physics, biomedical engineering, and computational theory and mathematics.

Their research topics include:

  • Navier-Stokes equation solutions
  • Gas Dynamics and Kinetic Theory
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Physics Problems
  • Elasticity and Material Modeling
  • Numerical methods in inverse problems
  • Advanced Mathematical Modeling in Engineering

Tai-Ping Liu has published papers in several specialized venues, including:

  • Journal of Hyperbolic Differential Equations
  • Communications in Partial Differential Equations
  • Quarterly of Applied Mathematics
  • AIP Conference Proceedings
  • Japan Journal of Industrial and Applied Mathematics

Recent papers authored or co-authored by Tai-Ping Liu include:

  • "Shock waves in Euler equations for compressible medium," 2021, Journal of Hyperbolic Differential Equations
  • "Partial dissipation and sub-shock," 2023, Quarterly of Applied Mathematics
  • "Solving Boltzmann equation, green's function approach," 2024, AIP Conference Proceedings

Frequent collaborators of Tai-Ping Liu are:

  • Chueh-Hsin Chang
  • Ching-hsiao Arthur Cheng
  • Shih-Hsien Yu

The scientist has contributed to academic books, including a publication with the American Mathematical Society titled Shock Waves (2021), which has been cited multiple times.

Tai-Ping Liu has received several professional honors, including:

  • SIAM Fellow (2014), recognized for advances in the theory of shock waves and kinetic theory
  • Fellow of the American Mathematical Society (2013)
  • Fellow of The World Academy of Sciences (2006)
  • Fellow of John Simon Guggenheim Memorial Foundation (1982)
  • Fellow of Alfred P. Sloan Foundation (1979)

Best Publications

  • Hyperbolic conservation laws with stiff relaxation terms and entropy

    Gui-Qiang Chen;C. David Levermore;Tai-Ping Liu

  • Hyperbolic conservation laws with relaxation

    Tai-Ping Liu

  • Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping

    Ling Hsiao;Tai-Ping Liu

  • Nonlinear Stability of Shock Waves for Viscous Conservation Laws

    Tai-Ping Liu

  • The Riemann problem for general systems of conservation laws

    Tai-Ping Liu

  • Vacuum states for compressible flow

    Tai-Ping Liu;Zhouping Xin;Tong Yang

  • The Pointwise Estimates of Diffusion Wave for the Navier–Stokes Systems in Odd Multi-Dimensions

    Tai-Ping Liu;Weike Wang

  • Boltzmann Equation: Micro-Macro Decompositions and Positivity of Shock Profiles

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

  • Admissible solutions of hyperbolic conservation laws

    Tai Ping Liu

  • Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations

    Tai-Ping Liu

  • Energy method for Boltzmann equation

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

  • Quasilinear hyperbolic systems

    Tai Ping Liu

  • Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws

    Tai-Ping Liu;Yanni Zeng

  • L1-stability estimates for n x n conservation laws

    Alberto Bressan;Tai Ping Liu;Tong Yang

  • The deterministic version of the Glimm scheme

    Tai Ping Liu

  • On the vacuum state for the isentropic gas dynamics equations

    T.-P Liu;J.A Smoller

  • Nonlinear stability of rarefaction waves for compressible Navier Stokes equations

    Tai-Ping Liu;Zhou Ping Xin

  • Pointwise convergence to shock waves for viscous conservation laws

    Tai-Ping Liu

  • The entropy condition and the admissibility of shocks

    Tai-Ping Liu

  • Zero relaxation and dissipation limits for hyperbolic conservation laws

    Gui-Qiang Chen;Tai-Ping Liu

Frequent Co-Authors

Tong Yang
Tong Yang Hong Kong Polytechnic University
Zhouping Xin
Zhouping Xin Chinese University of Hong Kong
Kevin Zumbrun
Kevin Zumbrun Indiana University
Gui-Qiang Chen
Gui-Qiang Chen University of Oxford
Joel Smoller
Joel Smoller University of Michigan–Ann Arbor
Tommaso Ruggeri
Tommaso Ruggeri University of Bologna
Alberto Bressan
Alberto Bressan Pennsylvania State University
Russel E. Caflisch
Russel E. Caflisch Courant Institute of Mathematical Sciences
Akitaka Matsumura
Akitaka Matsumura Osaka University
C. David Levermore
C. David Levermore University of Maryland, College Park

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