Chongsheng Cao

3.9k total citations · 2 hit papers
39 papers, 2.6k citations indexed

About

Chongsheng Cao is a scholar working on Applied Mathematics, Mathematical Physics and Control and Systems Engineering. According to data from OpenAlex, Chongsheng Cao has authored 39 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Applied Mathematics, 26 papers in Mathematical Physics and 19 papers in Control and Systems Engineering. Recurrent topics in Chongsheng Cao's work include Navier-Stokes equation solutions (36 papers), Advanced Mathematical Physics Problems (26 papers) and Stability and Controllability of Differential Equations (19 papers). Chongsheng Cao is often cited by papers focused on Navier-Stokes equation solutions (36 papers), Advanced Mathematical Physics Problems (26 papers) and Stability and Controllability of Differential Equations (19 papers). Chongsheng Cao collaborates with scholars based in United States, Israel and United Kingdom. Chongsheng Cao's co-authors include Edriss S. Titi, Jiahong Wu, Jinkai Li, Darryl D. Holm, Baoquan Yuan, Mohammad A. Rammaha, Xiaojing Xu, Ciprian G. Gal, Slim Ibrahim and Kenji Nakanishi and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Chongsheng Cao

36 papers receiving 2.4k citations

Hit Papers

align trajectories sort by overperformance

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.

Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion

2010 280 citations Chongsheng Cao, Jiahong Wu Advances in Mathematics profile →
Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics

2007 257 citations Chongsheng Cao, Edriss S. Titi profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Chongsheng Cao United States	25	2.2k	1.8k	1.0k	860	258	39	2.6k
Igor Kukavica United States	27	1.7k 0.8×	1.2k 0.7×	1.1k 1.0×	674 0.8×	627 2.4×	143	2.2k
Diego Córdoba Spain	25	1.9k 0.9×	1.3k 0.7×	399 0.4×	592 0.7×	356 1.4×	67	2.2k
Isabelle Gallagher France	21	1.6k 0.7×	1.2k 0.7×	496 0.5×	653 0.8×	159 0.6×	83	1.8k
Mohammed Ziane United States	24	1.0k 0.5×	688 0.4×	735 0.7×	441 0.5×	397 1.5×	62	1.5k
Vlad Vicol United States	21	1.0k 0.5×	615 0.3×	305 0.3×	510 0.6×	188 0.7×	49	1.2k
Dragoş Iftimie France	16	1.2k 0.5×	781 0.4×	395 0.4×	504 0.6×	212 0.8×	37	1.3k
Anatoli Babin United States	19	699 0.3×	521 0.3×	598 0.6×	317 0.4×	364 1.4×	69	1.3k
Steven Schochet Israel	21	906 0.4×	582 0.3×	158 0.2×	645 0.8×	93 0.4×	36	1.3k
Jinkai Li China	18	765 0.3×	526 0.3×	247 0.2×	308 0.4×	66 0.3×	57	958
Serge Alinhac France	20	1.0k 0.5×	1.1k 0.6×	398 0.4×	349 0.4×	193 0.7×	65	1.5k

Countries citing papers authored by Chongsheng Cao

Since Specialization

Citations

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

Fields of papers citing papers by Chongsheng Cao

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Chongsheng Cao

This figure shows the co-authorship network connecting the top 25 collaborators of Chongsheng Cao. A scholar is included among the top collaborators of Chongsheng Cao 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 Chongsheng Cao. Chongsheng Cao is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Cao, Chongsheng & Jiahong Wu. (2025). Stability of the 3D Navier–Stokes equations with anisotropic dissipation. Nonlinearity. 38(9). 95012–95012.

Cao, Chongsheng & Hao Kang. (2021). Global well-posedness of 2D chemotaxis Euler fluid systems. Journal of Differential Equations. 294. 251–264.

Cao, Chongsheng, Yanqiu Guo, & Edriss S. Titi. (2020). Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number. Journal of Evolution Equations. 21(3). 2923–2954.

Cao, Chongsheng, Yanqiu Guo, & Edriss S. Titi. (2018). Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation. Journal of Mathematical Physics. 59(7). 5 indexed citations

Cao, Chongsheng, Jinkai Li, & Edriss S. Titi. (2017). Strong solutions to the 3D primitive equations with only horizontal dissipation: Near H1 initial data. Journal of Functional Analysis. 272(11). 4606–4641. 48 indexed citations

Cao, Chongsheng, et al.. (2015). Global regularity results for the 2D Boussinesq equations with partial dissipation. Journal of Differential Equations. 260(2). 1893–1917. 62 indexed citations

Cao, Chongsheng, Jinkai Li, & Edriss S. Titi. (2015). Global Well‐Posedness of the Three‐Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion. Communications on Pure and Applied Mathematics. 69(8). 1492–1531. 66 indexed citations

Cao, Chongsheng, Jinkai Li, & Edriss S. Titi. (2014). Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. Journal of Differential Equations. 257(11). 4108–4132. 53 indexed citations

Cao, Chongsheng, Jinkai Li, & Edriss S. Titi. (2014). Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity. Archive for Rational Mechanics and Analysis. 214(1). 35–76. 62 indexed citations

10.

Cao, Chongsheng, et al.. (2014). Small global solutions to the damped two-dimensional Boussinesq equations. Journal of Differential Equations. 256(11). 3594–3613. 37 indexed citations

11.

Cao, Chongsheng, et al.. (2013). The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion. Journal of Differential Equations. 254(7). 2661–2681. 128 indexed citations

12.

Cao, Chongsheng & Edriss S. Titi. (2011). Global Regularity Criterion for the 3D Navier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor. Archive for Rational Mechanics and Analysis. 202(3). 919–932. 123 indexed citations

13.

Cao, Chongsheng & Jiahong Wu. (2010). Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion. Advances in Mathematics. 226(2). 1803–1822. 280 indexed citations breakdown →

14.

Cao, Chongsheng, et al.. (2010). The 2D Boussinesq equations with vertical viscosity and vertical diffusivity. Journal of Differential Equations. 249(5). 1078–1088. 73 indexed citations

15.

Cao, Chongsheng & Jiahong Wu. (2009). Two regularity criteria for the 3D MHD equations. Journal of Differential Equations. 248(9). 2263–2274. 222 indexed citations

16.

Cao, Chongsheng & Edriss S. Titi. (2008). Regularity criteria for the three-dimensional Navier-Stokes equations. Indiana University Mathematics Journal. 57(6). 2643–2662. 137 indexed citations

17.

Cao, Chongsheng, Darryl D. Holm, & Edriss S. Titi. (2005). On the Clark–α model of turbulence: global regularity and long-time dynamics. Journal of Turbulence. 6. N20–N20. 55 indexed citations

18.

Cao, Chongsheng, Darryl D. Holm, & Edriss S. Titi. (2004). Traveling Wave Solutions for a Class of One-Dimensional Nonlinear Shallow Water Wave Models. Journal of Dynamics and Differential Equations. 16(1). 167–178. 91 indexed citations

19.

Cao, Chongsheng, Mohammad A. Rammaha, & Edriss S. Titi. (2000). Gevrey Regularity for Nonlinear Analytic Parabolic Equations on the Sphere. Journal of Dynamics and Differential Equations. 12(2). 411–433. 20 indexed citations

20.

Cao, Chongsheng, Mohammad A. Rammaha, & Edriss S. Titi. (1999). The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom. Zeitschrift für angewandte Mathematik und Physik. 50(3). 341–360. 79 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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