Tai-Ping Liu

7.0k total citations · 1 hit paper
99 papers, 4.7k citations indexed

About

Tai-Ping Liu is a scholar working on Applied Mathematics, Computational Mechanics and Mathematical Physics. According to data from OpenAlex, Tai-Ping Liu has authored 99 papers receiving a total of 4.7k indexed citations (citations by other indexed papers that have themselves been cited), including 87 papers in Applied Mathematics, 61 papers in Computational Mechanics and 33 papers in Mathematical Physics. Recurrent topics in Tai-Ping Liu's work include Navier-Stokes equation solutions (70 papers), Computational Fluid Dynamics and Aerodynamics (47 papers) and Gas Dynamics and Kinetic Theory (35 papers). Tai-Ping Liu is often cited by papers focused on Navier-Stokes equation solutions (70 papers), Computational Fluid Dynamics and Aerodynamics (47 papers) and Gas Dynamics and Kinetic Theory (35 papers). Tai-Ping Liu collaborates with scholars based in United States, Taiwan and Hong Kong. Tai-Ping Liu's co-authors include Tong Yang, Shih‐Hsien Yu, Ling Hsiao, Yanni Zeng, Zhouping Xin, Weike Wang, Zhouping Xin, Kevin Zumbrun, Michel Pierre and Philippe Le Floch and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Lecture notes in mathematics.

In The Last Decade

Tai-Ping Liu

94 papers receiving 4.2k citations

Hit Papers

Hyperbolic conservation laws with relaxation 1987 2026 2000 2013 1987 100 200 300
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Hyperbolic conservation laws with relaxation
    1987 393 citations Tai-Ping Liu Communications in Mathematical Physics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Tai-Ping Liu United States 37 4.1k 2.6k 2.5k 734 378 99 4.7k
Gui‐Qiang Chen United States 41 4.6k 1.1× 2.7k 1.0× 3.1k 1.2× 620 0.8× 479 1.3× 188 5.4k
Ronald J. DiPerna United States 22 3.7k 0.9× 2.0k 0.8× 1.9k 0.7× 645 0.9× 836 2.2× 27 4.5k
Kevin Zumbrun United States 32 2.4k 0.6× 1.6k 0.6× 1.6k 0.6× 681 0.9× 481 1.3× 146 3.4k
Zhouping Xin Hong Kong 45 6.1k 1.5× 4.3k 1.7× 3.9k 1.6× 902 1.2× 404 1.1× 160 7.1k
Yan Guo United States 37 3.5k 0.9× 1.8k 0.7× 2.0k 0.8× 257 0.4× 245 0.6× 134 4.2k
Nader Masmoudi United States 44 3.9k 1.0× 2.7k 1.0× 2.5k 1.0× 766 1.0× 833 2.2× 165 5.4k
Philippe G. LeFloch France 32 2.4k 0.6× 1.2k 0.5× 2.6k 1.0× 317 0.4× 172 0.5× 172 4.0k
J. Thomas Beale United States 27 1.5k 0.4× 1.1k 0.4× 1.8k 0.7× 428 0.6× 470 1.2× 51 3.2k
Eduard Feireisl Czechia 38 4.7k 1.1× 2.6k 1.0× 2.6k 1.0× 1.6k 2.2× 1.4k 3.8× 275 5.9k
Benoı̂t Desjardins France 25 2.4k 0.6× 1.5k 0.6× 1.6k 0.6× 635 0.9× 467 1.2× 53 2.8k

Countries citing papers authored by Tai-Ping Liu

Since Specialization
Citations

This map shows the geographic impact of Tai-Ping Liu's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Tai-Ping Liu with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Tai-Ping Liu more than expected).

Fields of papers citing papers by Tai-Ping Liu

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Tai-Ping Liu. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Tai-Ping Liu. The network helps show where Tai-Ping Liu may publish in the future.

Co-authorship network of co-authors of Tai-Ping Liu

This figure shows the co-authorship network connecting the top 25 collaborators of Tai-Ping Liu. A scholar is included among the top collaborators of Tai-Ping Liu based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Tai-Ping Liu. Tai-Ping Liu is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Liu, Tai-Ping. (2021). Shock Waves. Graduate studies in mathematics. 19 indexed citations
2.
Liu, Tai-Ping. (2013). Problems and Strategies in the Management of Cordyceps sinensis in Tibet. Hubei nongye kexue.
3.
Elling, Volker & Tai-Ping Liu. (2006). Physicality of Weak Prandtl-Meyer Reflection(Mathematical Analysis in Fluid and Gas Dynamics : A conference in honor of Professor Tai-Ping Liu on his 60th Birthday). Kyoto University Research Information Repository (Kyoto University). 1495. 112–117. 2 indexed citations
4.
Liu, Tai-Ping & Tong Yang. (2002). . Communications in Mathematical Physics. 230(2). 289–327. 21 indexed citations
5.
Liu, Tai-Ping & Tong Yang. (1999). 𝐿₁ stability for 2×2 systems of hyperbolic conservation laws. Journal of the American Mathematical Society. 12(3). 729–774. 34 indexed citations
6.
Liu, Tai-Ping & Yanni Zeng. (1999). Compressible Navier–Stokes Equations with Zero Heat Conductivity. Journal of Differential Equations. 153(2). 225–291. 35 indexed citations
7.
Liu, Tai-Ping & Shih‐Hsien Yu. (1999). Continuum shock profiles for discrete conservation laws II: Stability. Communications on Pure and Applied Mathematics. 52(9). 1047–1073. 8 indexed citations
8.
Liu, Tai-Ping & Tong Yang. (1997). Compressible Euler Equations with Vacuum. Journal of Differential Equations. 140(2). 223–237. 78 indexed citations
9.
Hsiao, Ling & Tai-Ping Liu. (1992). Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping. Communications in Mathematical Physics. 143(3). 599–605. 286 indexed citations
10.
Liu, Tai-Ping. (1988). Nonlinear waves for viscoelasticity with fading memory. Journal of Differential Equations. 76(1). 26–46. 9 indexed citations
11.
Liu, Tai-Ping & Ching‐Hua Wang. (1985). On a nonstrictly hyperbolic system of conservation laws. Journal of Differential Equations. 57(1). 1–14. 36 indexed citations
12.
Glaz, Harland M. & Tai-Ping Liu. (1984). The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow. Advances in Applied Mathematics. 5(2). 111–146. 48 indexed citations
13.
Liu, Tai-Ping, et al.. (1983). Asymptotic states for hyperbolic conservation laws with a moving source. Advances in Applied Mathematics. 4(4). 353–379. 13 indexed citations
14.
Liu, Tai-Ping & Ching‐Hua Wang. (1981). On a Hyperbolic System of Conservation Laws Which Is Not Strictly Hyperbolic.. Defense Technical Information Center (DTIC). 7 indexed citations
15.
Liu, Tai-Ping. (1978). Invariants and Asymptotic Behavior of Solutions of a Conservation Law. Proceedings of the American Mathematical Society. 71(2). 227–227. 11 indexed citations
16.
Liu, Tai-Ping. (1978). The free piston problem for gas dynamics. Journal of Differential Equations. 30(2). 175–191. 13 indexed citations
17.
Liu, Tai-Ping. (1978). . Indiana University Mathematics Journal. 27(2). 211–211. 11 indexed citations
18.
Liu, Tai-Ping. (1976). Uniqueness of weak solutions of the Cauchy problem for general 2 × 2 conservation laws. Journal of Differential Equations. 20(2). 369–388. 27 indexed citations
19.
Liu, Tai-Ping. (1976). The entropy condition and the admissibility of shocks. Journal of Mathematical Analysis and Applications. 53(1). 78–88. 99 indexed citations
20.
Liu, Tai-Ping. (1975). The Riemann problem for general systems of conservation laws. Journal of Differential Equations. 18(1). 218–234. 188 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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