Zhouping Xin

11.4k total citations · 4 hit papers
160 papers, 7.1k citations indexed

About

Zhouping Xin is a scholar working on Applied Mathematics, Computational Mechanics and Mathematical Physics. According to data from OpenAlex, Zhouping Xin has authored 160 papers receiving a total of 7.1k indexed citations (citations by other indexed papers that have themselves been cited), including 149 papers in Applied Mathematics, 98 papers in Computational Mechanics and 89 papers in Mathematical Physics. Recurrent topics in Zhouping Xin's work include Navier-Stokes equation solutions (139 papers), Advanced Mathematical Physics Problems (85 papers) and Computational Fluid Dynamics and Aerodynamics (81 papers). Zhouping Xin is often cited by papers focused on Navier-Stokes equation solutions (139 papers), Advanced Mathematical Physics Problems (85 papers) and Computational Fluid Dynamics and Aerodynamics (81 papers). Zhouping Xin collaborates with scholars based in Hong Kong, China and United States. Zhouping Xin's co-authors include Shi Jin, Ping Zhang, Jing Li, Xiangdi Huang, He Cheng, Huicheng Yin, Quansen Jiu, Yuelong Xiao, Tao Luo and Chunjing Xie and has published in prestigious journals such as Mathematics of Computation, Communications in Mathematical Physics and SIAM Journal on Numerical Analysis.

In The Last Decade

Zhouping Xin

152 papers receiving 6.4k citations

Hit Papers

The relaxation schemes for systems of conservation laws i... 1995 2026 2005 2015 1995 2000 2004 2011 200 400 600
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. The relaxation schemes for systems of conservation laws in arbitrary space dimensions
    1995 607 citations Zhouping Xin et al. Communications on Pure and Applied Mathematics profile →
  2. On the weak solutions to a shallow water equation
    2000 389 citations Zhouping Xin et al. Communications on Pure and Applied Mathematics profile →
  3. On the regularity of weak solutions to the magnetohydrodynamic equations
    2004 336 citations Zhouping Xin et al. Journal of Differential Equations profile →
  4. Global well‐posedness of classical solutions with large oscillations and vacuum to the three‐dimensional isentropic compressible Navier‐Stokes equations
    2011 304 citations Jing Li, Zhouping Xin et al. Communications on Pure and Applied Mathematics profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Zhouping Xin Hong Kong 45 6.1k 4.3k 3.9k 902 678 160 7.1k
Raphaël Danchin France 34 4.3k 0.7× 4.1k 0.9× 2.0k 0.5× 1.0k 1.1× 851 1.3× 88 5.3k
Gui‐Qiang Chen United States 41 4.6k 0.8× 2.7k 0.6× 3.1k 0.8× 620 0.7× 238 0.4× 188 5.4k
Nader Masmoudi United States 44 3.9k 0.6× 2.7k 0.6× 2.5k 0.6× 766 0.8× 577 0.9× 165 5.4k
Eduard Feireisl Czechia 38 4.7k 0.8× 2.6k 0.6× 2.6k 0.7× 1.6k 1.8× 159 0.2× 275 5.9k
Kevin Zumbrun United States 32 2.4k 0.4× 1.6k 0.4× 1.6k 0.4× 681 0.8× 465 0.7× 146 3.4k
Ronald J. DiPerna United States 22 3.7k 0.6× 2.0k 0.5× 1.9k 0.5× 645 0.7× 392 0.6× 27 4.5k
Jean-Yves Chemin France 21 2.9k 0.5× 2.5k 0.6× 1.1k 0.3× 779 0.9× 330 0.5× 49 3.4k
Claude Bardos France 31 2.6k 0.4× 2.1k 0.5× 1.8k 0.5× 1.4k 1.5× 560 0.8× 111 4.8k
Philippe G. LeFloch France 32 2.4k 0.4× 1.2k 0.3× 2.6k 0.7× 317 0.4× 352 0.5× 172 4.0k
Gustavo Ponce United States 38 4.2k 0.7× 6.7k 1.5× 650 0.2× 1.8k 1.9× 3.7k 5.4× 109 7.6k

Countries citing papers authored by Zhouping Xin

Since Specialization
Citations

This map shows the geographic impact of Zhouping Xin'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 Zhouping Xin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Zhouping Xin more than expected).

Fields of papers citing papers by Zhouping Xin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Zhouping Xin. 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 Zhouping Xin. The network helps show where Zhouping Xin may publish in the future.

Co-authorship network of co-authors of Zhouping Xin

This figure shows the co-authorship network connecting the top 25 collaborators of Zhouping Xin. A scholar is included among the top collaborators of Zhouping Xin 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 Zhouping Xin. Zhouping Xin 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.
Xin, Zhouping, et al.. (2025). On global smooth solutions to the 2D isentropic and irrotational Chaplygin gases with short pulse data. Advances in Mathematics. 476. 110362–110362.
2.
Liu, Xin, Edriss S. Titi, & Zhouping Xin. (2025). Asymptotic stability of the equilibrium for the free boundary problem of a compressible atmospheric primitive model with physical vacuum. Journal of Differential Equations. 447. 113620–113620.
3.
Weng, Shangkun & Zhouping Xin. (2024). Smooth Transonic Flows with Nonzero Vorticity to a Quasi Two Dimensional Steady Euler Flow Model. Archive for Rational Mechanics and Analysis. 248(3). 2 indexed citations
4.
Li, Jinkai & Zhouping Xin. (2024). Instantaneous Unboundedness of the Entropy and Uniform Positivity of the Temperature for the Compressible Navier–Stokes Equations with Fast Decay Density. SIAM Journal on Mathematical Analysis. 56(3). 3004–3041. 1 indexed citations
5.
Li, Hai-Liang, et al.. (2024). On the vacuum free boundary problem of the viscous Saint-Venant system for shallow water in two dimensions. Mathematische Annalen. 391(3). 3555–3639.
6.
Ding, Shijin, et al.. (2022). Correction to: Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions. Journal of Mathematical Fluid Mechanics. 24(3).
7.
Li, Jinkai & Zhouping Xin. (2021). Entropy‐Bounded Solutions to the One‐Dimensional Heat Conductive Compressible Navier‐Stokes Equations with Far Field Vacuum. Communications on Pure and Applied Mathematics. 75(11). 2393–2445. 9 indexed citations
8.
Li, Jinkai & Zhouping Xin. (2019). Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum. Advances in Mathematics. 361. 106923–106923. 17 indexed citations
9.
Jiu, Quansen, Yi Wang, & Zhouping Xin. (2017). Global classical solution to two-dimensional compressible Navier–Stokes equations with large data in R2. Physica D Nonlinear Phenomena. 376-377. 180–194. 24 indexed citations
10.
Qu, Peng & Zhouping Xin. (2017). Global entropy solutions to weakly nonlinear gas dynamics. Advances in Mathematics. 316. 292–355.
11.
Jiu, Quansen & Zhouping Xin. (2015). On Liouville Theorems and Global Regularity to the 3-D Incompressible Axisymmetric Navier-Stokes Equations. arXiv (Cornell University). 1 indexed citations
12.
Wang, Yun & Zhouping Xin. (2011). Analyticity of the semigroup associated with the fluid–rigid body problem and local existence of strong solutions. Journal of Functional Analysis. 261(9). 2587–2616. 13 indexed citations
13.
Xin, Zhouping & Huihui Zeng. (2010). Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier–Stokes equations. Journal of Differential Equations. 249(4). 827–871. 47 indexed citations
14.
Wang, Xiaoping, Yaguang Wang, & Zhouping Xin. (2008). Boundary layers of incompressible Fluids with Navier Boundary Conditions. Rare & Special e-Zone (The Hong Kong University of Science and Technology). 1 indexed citations
15.
Xin, Zhouping & Huicheng Yin. (2008). The transonic shock in a nozzle, 2-D and 3-D complete Euler systems. Journal of Differential Equations. 245(4). 1014–1085. 49 indexed citations
16.
Jiu, Quansen & Zhouping Xin. (2007). On strong convergence to 3D steady vortex sheets. Journal of Differential Equations. 239(2). 448–470. 6 indexed citations
17.
18.
Jiang, Song, Zhouping Xin, & Ping Zhang. (2005). Global Weak Solutions to 1D Compressible Isentropic Navier-Stokes Equations with Density-Dependent Viscosity. Methods and Applications of Analysis. 12(3). 239–252. 147 indexed citations
19.
Xin, Zhouping. (1990). Asymptotic Stability of Planar Rarefaction Waves for Viscous Conservation Laws in Several Dimensions. Transactions of the American Mathematical Society. 319(2). 805–805. 10 indexed citations
20.
Xin, Zhouping. (1987). The tubular catalyst reactor and the robin problem. Acta Mathematicae Applicatae Sinica English Series. 3(3). 201–223. 1 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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