Zhen Lei

2.8k total citations
58 papers, 1.7k citations indexed

About

Zhen Lei is a scholar working on Applied Mathematics, Mathematical Physics and Computational Mechanics. According to data from OpenAlex, Zhen Lei has authored 58 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Applied Mathematics, 34 papers in Mathematical Physics and 21 papers in Computational Mechanics. Recurrent topics in Zhen Lei's work include Navier-Stokes equation solutions (44 papers), Advanced Mathematical Physics Problems (34 papers) and Stability and Controllability of Differential Equations (20 papers). Zhen Lei is often cited by papers focused on Navier-Stokes equation solutions (44 papers), Advanced Mathematical Physics Problems (34 papers) and Stability and Controllability of Differential Equations (20 papers). Zhen Lei collaborates with scholars based in China, United States and Hong Kong. Zhen Lei's co-authors include Yi Zhou, Chun Liu, Fang‐Hua Lin, Thomas Y. Hou, Nader Masmoudi, Dong Li, Xiaoyi Zhang, Matthias Rosenkranz, Weizhu Bao and Yongyong Cai and has published in prestigious journals such as Physical Review A, Communications in Mathematical Physics and Communications on Pure and Applied Mathematics.

In The Last Decade

Zhen Lei

52 papers receiving 1.5k citations

Peers

Zhen Lei

AM

MP

CM

CSE

CTM

Daoyuan Fang China

Huijiang Zhao China

Yi Zhou China

Chao-Jiang Xu France

Jishan Fan China

Frédéric Rousset France

Konstantina Trivisa United States

Itai Shafrir Israel

Hideo Kozono Japan

Daoyuan Fang China

Zhen Lei

945 ×0.6

AM

1.0k ×0.9

MP

450 ×0.6

CM

289 ×0.6

CSE

51 ×0.5

CTM

Citations per year, relative to Zhen Lei Zhen Lei (= 1×) peers Daoyuan Fang

Countries citing papers authored by Zhen Lei

Since Specialization

Citations

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

Fields of papers citing papers by Zhen Lei

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Zhen Lei

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

All Works

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20 of 20 papers shown

1.

Lei, Zhen, et al.. (2024). Analysis of Temperature Field of Very Large Aperture Radio Telescope. Chinese Astronomy and Astrophysics. 48(2). 371–388.

2.

Lei, Zhen, et al.. (2022). Local Well-Posedness of Free-Boundary Incompressible Elastodynamics with Surface Tension via Vanishing Viscosity Limit. Archive for Rational Mechanics and Analysis. 245(3). 1285–1338. 7 indexed citations

3.

Dong, Shijie, Philippe G. LeFloch, & Zhen Lei. (2022). The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded. Fundamental Research. 4(2). 270–283. 5 indexed citations

4.

Lei, Zhen, Thomas C. Sideris, & Yi Zhou. (2015). Almost global existence for 2-D incompressible isotropic elastodynamics. Transactions of the American Mathematical Society. 367(11). 8175–8197. 41 indexed citations

5.

Lei, Zhen. (2015). Methods Research on Oil Particle Size Based on Laser Particle Size Analyzer. 1 indexed citations

6.

Lei, Zhen, et al.. (2015). Local well-posedness of the three dimensional compressible Euler–Poisson equations with physical vacuum. Journal de Mathématiques Pures et Appliquées. 105(5). 662–723. 31 indexed citations

7.

Lei, Zhen, Fang-Hua Lin, & Yi Zhou. (2015). Structure of Helicity and Global Solutions of Incompressible Navier–Stokes Equation. Archive for Rational Mechanics and Analysis. 218(3). 1417–1430. 24 indexed citations

8.

Lei, Zhen, Dong Li, & Xiaoyi Zhang. (2014). Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions. Proceedings of the American Mathematical Society. 142(11). 3801–3810. 48 indexed citations

9.

Lei, Zhen & Fan Wang. (2014). Uniform Bound of the Highest Energy for the Three Dimensional Incompressible Elastodynamics. Archive for Rational Mechanics and Analysis. 216(2). 593–622. 15 indexed citations

10.

Lei, Zhen, Dong Li, & Xiaoyi Zhang. (2012). A New Proof of Global Wellposedness of Liquid Crystals and Heat Harmonic Maps in Two Dimensions. arXiv (Cornell University). 4 indexed citations

11.

Lei, Zhen. (2012). THE RELATIONSHIP BETWEEN THE LOOP SIZE AND THE OPTIMAL DETECTING DEPTH IN IN-LOOP TEM. 1 indexed citations

12.

Lei, Zhen & Fang‐Hua Lin. (2011). Global mild solutions of Navier‐Stokes equations. Communications on Pure and Applied Mathematics. 64(9). 1297–1304. 112 indexed citations

13.

Lei, Zhen, et al.. (2011). Well-posedness of 1-D compressible Euler–Poisson equations with physical vacuum. Journal of Differential Equations. 252(3). 2160–2188. 24 indexed citations

14.

Lei, Zhen & Yun Wang. (2011). Global solutions for micro–macro models of polymeric fluids. Journal of Differential Equations. 250(10). 3813–3830. 7 indexed citations

15.

Lei, Zhen, et al.. (2011). A Liouville theorem for the axially-symmetric Navier–Stokes equations. Journal of Functional Analysis. 261(8). 2323–2345. 36 indexed citations

16.

Lei, Zhen, Nader Masmoudi, & Yi Zhou. (2009). Remarks on the blowup criteria for Oldroyd models. Journal of Differential Equations. 248(2). 328–341. 75 indexed citations

17.

Zhou, Yi & Zhen Lei. (2008). Logarithmically Improved Criteria for Euler and Navier-Stokes Equations. arXiv (Cornell University). 5 indexed citations

18.

Lei, Zhen & Yuxi Zheng. (2007). A complete global solution to the pressure gradient equation. Journal of Differential Equations. 236(1). 280–292. 21 indexed citations

19.

Lei, Zhen. (2006). Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit*. Chinese Annals of Mathematics Series B. 27(5). 565–580. 56 indexed citations

20.

Lei, Zhen. (2005). BLOW-UP OF CLASSICAL SOLUTIONS TO THE IDEAL MAGNETOHYDRODYNAMIC EQUATIONS WITH INITIAL DISTURBANCES. 2 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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