Lei Yao

918 total citations
49 papers, 643 citations indexed

About

Lei Yao is a scholar working on Applied Mathematics, Computational Mechanics and Mathematical Physics. According to data from OpenAlex, Lei Yao has authored 49 papers receiving a total of 643 indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Applied Mathematics, 35 papers in Computational Mechanics and 31 papers in Mathematical Physics. Recurrent topics in Lei Yao's work include Navier-Stokes equation solutions (45 papers), Advanced Mathematical Physics Problems (31 papers) and Computational Fluid Dynamics and Aerodynamics (31 papers). Lei Yao is often cited by papers focused on Navier-Stokes equation solutions (45 papers), Advanced Mathematical Physics Problems (31 papers) and Computational Fluid Dynamics and Aerodynamics (31 papers). Lei Yao collaborates with scholars based in China and United States. Lei Yao's co-authors include Changjiang Zhu, Ting Zhang, Huanyao Wen, Zhenhua Guo, Jing Yang, Dongfen Bian, Alexis Vasseur, Shijin Ding, Cheng Yu and Ruizhao Zi and has published in prestigious journals such as Polymer, Journal of Mathematical Analysis and Applications and Physica D Nonlinear Phenomena.

In The Last Decade

Lei Yao

43 papers receiving 580 citations

Peers

Lei Yao

CSE

CTM

Xiaoding Shi China

David H. Wagner United States

Brian T. Hayes United States

Xinying Xu China

Andrea Marson Italy

Ivan Dražić Croatia

Renhui Wan China

James P. Kelliher United States

Marta Lewicka United States

Agnieszka Świerczewska-Gwiazda Poland

Xiaoding Shi China

Lei Yao

369 ×0.6

249 ×0.6

225 ×0.5

41 ×1.2

CSE

38 ×1.7

CTM

Citations per year, relative to Lei Yao Lei Yao (= 1×) peers Xiaoding Shi

Countries citing papers authored by Lei Yao

Since Specialization

Citations

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

Fields of papers citing papers by Lei Yao

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Lei Yao

This figure shows the co-authorship network connecting the top 25 collaborators of Lei Yao. A scholar is included among the top collaborators of Lei Yao 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 Lei Yao. Lei Yao 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

Gao, Ningning, et al.. (2025). Free interface problem of Navier-Stokes-Darcy equations without surface tension. Journal of Differential Equations. 453. 113850–113850.

Wu, Guochun, et al.. (2024). Large time behavior of weak solutions to the inhomogeneous incompressible Navier-Stokes-Vlasov equations in R3. Journal of Differential Equations. 402. 361–399. 1 indexed citations

Tan, Zhong, Guochun Wu, Lei Yao, & Yinghui Zhang. (2024). Vanishing capillarity limit of a generic compressible two–fluid model with common pressure. Journal of Differential Equations. 420. 223–262.

Xing, Lei, Shengzhi Hao, Hao Huang, et al.. (2024). Ni-base superalloys enhanced by in-situ MC carbides precipitant on TiC nanoparticles. Materials Today Communications. 38. 108262–108262. 13 indexed citations

Wu, Guochun, Lei Yao, & Yinghui Zhang. (2023). On instability of a generic compressible two-fluid model in R3. Nonlinearity. 36(9). 4740–4757.

Wu, Guochun, et al.. (2023). Global Stability and Nonvanishing Vacuum States of 3D Compressible Navier–Stokes Equations. SIAM Journal on Mathematical Analysis. 55(2). 882–899. 1 indexed citations

Yao, Lei, et al.. (2022). Exponential decay for 2D reduced gravity two-and-a-half layer model with quantum potential and drag force. Discrete and Continuous Dynamical Systems - B. 27(12). 7207–7207. 2 indexed citations

Yao, Lei, et al.. (2020). Hydrodynamic limit for the inhomogeneous incompressible Navier-Stokes/Vlasov-Fokker-Planck equations. Journal of Differential Equations. 269(2). 1079–1116. 7 indexed citations

Yao, Lei & Cheng Yu. (2018). Existence of global weak solutions for the Navier–Stokes–Vlasov–Boltzmann equations. Journal of Differential Equations. 265(11). 5575–5603. 12 indexed citations

10.

Wen, Huanyao, Lei Yao, & Changjiang Zhu. (2018). Review on mathematical analysis of some two-phase flow models. Acta Mathematica Scientia. 38(5). 1617–1636. 17 indexed citations

11.

Yao, Lei, et al.. (2016). Vanishing capillarity limit of the compressible non-isentropic Navier–Stokes–Korteweg system to Navier–Stokes system. Journal of Mathematical Analysis and Applications. 448(1). 421–446. 9 indexed citations

12.

Yao, Lei, et al.. (2016). Existence of spherically symmetric solutions for a reduced gravity two-and-a-half layer system. Journal of Differential Equations. 261(3). 1637–1668. 6 indexed citations

13.

Zhao, Xinhua & Lei Yao. (2016). Global classical solutions of the full compressible Navier–Stokes equations with cylindrical or spherical symmetry. Nonlinear Analysis Real World Applications. 33. 139–167. 2 indexed citations

14.

Bian, Dongfen, Lei Yao, & Changjiang Zhu. (2014). Vanishing Capillarity Limit of the Compressible Fluid Models of Korteweg Type to the Navier--Stokes Equations. SIAM Journal on Mathematical Analysis. 46(2). 1633–1650. 36 indexed citations

15.

Yao, Lei, Changjiang Zhu, & Ruizhao Zi. (2012). Incompressible Limit of Viscous Liquid-Gas Two-Phase Flow Model. SIAM Journal on Mathematical Analysis. 44(5). 3324–3345. 14 indexed citations

16.

Yao, Lei, Jing Yang, & Zhenhua Guo. (2012). Blow-up criterion for 3D viscous liquid–gas two-phase flow model. Journal of Mathematical Analysis and Applications. 395(1). 175–190. 13 indexed citations

17.

Wen, Huanyao, Lei Yao, & Changjiang Zhu. (2011). A blow-up criterion of strong solution to a 3D viscous liquid–gas two-phase flow model with vacuum. Journal de Mathématiques Pures et Appliquées. 97(3). 204–229. 48 indexed citations

18.

Yao, Lei. (2010). Risk assessment model of information security based on risk matrix. Computer Engineering and Applications Journal. 5 indexed citations

19.

Yao, Lei, Ting Zhang, & Changjiang Zhu. (2010). A blow-up criterion for a 2D viscous liquid-gas two-phase flow model. Journal of Differential Equations. 250(8). 3362–3378. 41 indexed citations

20.

Yao, Lei & Changjiang Zhu. (2009). Free boundary value problem for a viscous two-phase model with mass-dependent viscosity. Journal of Differential Equations. 247(10). 2705–2739. 59 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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