2026 Tai-Ping Liu: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	61	518	439	271	215	219	13043

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

518

439

271

215

219

13043

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

896
Citations
Hyperbolic conservation laws with relaxation

Tai-Ping Liu

768
Citations
Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping

Ling Hsiao;Tai-Ping Liu

491
Citations
Nonlinear Stability of Shock Waves for Viscous Conservation Laws

Tai-Ping Liu

472
Citations
The Riemann problem for general systems of conservation laws

Tai-Ping Liu

395
Citations
Vacuum states for compressible flow

Tai-Ping Liu;Zhouping Xin;Tong Yang

333
Citations
The Pointwise Estimates of Diffusion Wave for the Navier–Stokes Systems in Odd Multi-Dimensions

Tai-Ping Liu;Weike Wang

319
Citations
Boltzmann Equation: Micro-Macro Decompositions and Positivity of Shock Profiles

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

311
Citations
Admissible solutions of hyperbolic conservation laws

Tai Ping Liu

311
Citations
Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations

Tai-Ping Liu

307
Citations
Energy method for Boltzmann equation

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

291
Citations
Quasilinear hyperbolic systems

Tai Ping Liu

289
Citations
Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws

Tai-Ping Liu;Yanni Zeng

274
Citations
L1-stability estimates for n x n conservation laws

Alberto Bressan;Tai Ping Liu;Tong Yang

273
Citations
The deterministic version of the Glimm scheme

Tai Ping Liu

247
Citations
On the vacuum state for the isentropic gas dynamics equations

T.-P Liu;J.A Smoller

241
Citations
Nonlinear stability of rarefaction waves for compressible Navier Stokes equations

Tai-Ping Liu;Zhou Ping Xin

239
Citations
Pointwise convergence to shock waves for viscous conservation laws

Tai-Ping Liu

237
Citations
The entropy condition and the admissibility of shocks

Tai-Ping Liu

215
Citations
Zero relaxation and dissipation limits for hyperbolic conservation laws

Gui-Qiang Chen;Tai-Ping Liu

182
Citations

Frequent Co-Authors

Tong Yang City University of Hong Kong

Zhouping Xin Chinese University of Hong Kong

Kevin Zumbrun Indiana University

Gui-Qiang Chen University of Oxford

Joel Smoller University of Michigan–Ann Arbor

Alberto Bressan Pennsylvania State University

Russel E. Caflisch Courant Institute of Mathematical Sciences

Akitaka Matsumura Osaka University

C. David Levermore University of Maryland, College Park

Guy Métivier University of Bordeaux

External Links

Wikipedia of Tai-Ping Liu Personal website of Tai-Ping Liu

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