N. Lai

3.2k total citations
44 papers, 344 citations indexed

About

N. Lai is a scholar working on Mathematical Physics, Applied Mathematics and Control and Systems Engineering. According to data from OpenAlex, N. Lai has authored 44 papers receiving a total of 344 indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Mathematical Physics, 24 papers in Applied Mathematics and 18 papers in Control and Systems Engineering. Recurrent topics in N. Lai's work include Advanced Mathematical Physics Problems (40 papers), Stability and Controllability of Differential Equations (18 papers) and Navier-Stokes equation solutions (15 papers). N. Lai is often cited by papers focused on Advanced Mathematical Physics Problems (40 papers), Stability and Controllability of Differential Equations (18 papers) and Navier-Stokes equation solutions (15 papers). N. Lai collaborates with scholars based in China, Japan and Hong Kong. N. Lai's co-authors include Hiroyuki Takamura, Yi Zhou, Kyouhei Wakasa, Chengbo Wang, Chun Liu, Changhua Wei, Jiang Zhou, Yi Zhou, Manwai Yuen and Jinglei Zhao and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Differential Equations and Journal of Mathematical Physics.

In The Last Decade

N. Lai

37 papers receiving 310 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
N. Lai China	11	323	213	189	106	28	44	344
Kimitoshi Tsutaya Japan	10	306 0.9×	118 0.6×	101 0.5×	164 1.5×	20 0.7×	33	335
Yuta Wakasugi Japan	10	255 0.8×	162 0.8×	169 0.9×	51 0.5×	25 0.9×	35	286
Guixiang Xu China	11	337 1.0×	125 0.6×	97 0.5×	148 1.4×	16 0.6×	25	370
Luiz Gustavo Farah Brazil	11	351 1.1×	174 0.8×	79 0.4×	263 2.5×	19 0.7×	31	389
Damiano Foschi Italy	9	365 1.1×	237 1.1×	78 0.4×	66 0.6×	6 0.2×	13	385
Yifei Wu China	10	344 1.1×	189 0.9×	92 0.5×	112 1.1×	109 3.9×	34	375
Raphaël Côte France	14	370 1.1×	113 0.5×	79 0.4×	260 2.5×	14 0.5×	27	395
Zaihong Jiang China	9	225 0.7×	154 0.7×	78 0.4×	144 1.4×	42 1.5×	42	291
Soonsik Kwon South Korea	11	294 0.9×	134 0.6×	61 0.3×	183 1.7×	18 0.6×	23	320
Kyouhei Wakasa Japan	10	278 0.9×	166 0.8×	167 0.9×	104 1.0×	4 0.1×	27	280

Countries citing papers authored by N. Lai

Since Specialization

Citations

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

Fields of papers citing papers by N. Lai

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of N. Lai

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

Lai, N., Alessandro Palmieri, & Hiroyuki Takamura. (2025). A blow-up result for the semilinear Euler-Poisson-Darboux-Tricomi equation with critical power nonlinearity. Journal of Mathematical Analysis and Applications. 553(1). 129835–129835.

Xu, Wei & N. Lai. (2025). Space-time estimate for the perturbed linear elastic wave equations exterior to a ball with radial data and its application. Forum Mathematicum. 38(1). 289–305.

Lai, N., et al.. (2025). Nonexistence of global solutions to the Euler–Poisson–Darboux equation in Rn: Subcritical case. Nonlinear Analysis. 256. 113781–113781.

Lai, N., et al.. (2024). Formation of Finite Time Singularity for Axially Symmetric Magnetohydrodynamic Waves in 3-D. Journal of Mathematical Fluid Mechanics. 26(3). 1 indexed citations

Hu, Ke, et al.. (2024). Nonexistence of the compressible Euler equations with space-dependent damping in high dimensions. Advances in Nonlinear Analysis. 13(1).

Lai, N. & Yi Zhou. (2023). Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime. Journal de Mathématiques Pures et Appliquées. 173. 172–194. 2 indexed citations

Lai, N., et al.. (2023). Finite-time blow-up for the compressible Euler system in the exterior domain. Scientia Sinica Mathematica. 54(3). 247–247.

Lai, N., et al.. (2023). Blow-up for compressible Euler system with space-dependent damping in 1-D. Advances in Nonlinear Analysis. 12(1). 7 indexed citations

Lai, N., et al.. (2022). Global Instability of Multi-Dimensional Plane Shocks for Isothermal Flow. Acta Mathematica Scientia. 42(3). 887–902. 6 indexed citations

10.

Lai, N., et al.. (2022). Lifespan estimates for semilinear wave equations with space dependent damping and potential. Calculus of Variations and Partial Differential Equations. 62(2). 4 indexed citations

11.

Lai, N., et al.. (2022). Positivity of temperature for some non-isothermal fluid models. Journal of Differential Equations. 339. 555–578. 5 indexed citations

12.

Lai, N., et al.. (2019). Lifespan estimate for semilinear wave equation in Schwarzschild spacetime. Applied Mathematics Letters. 99. 105997–105997. 12 indexed citations

13.

Lai, N. & Hiroyuki Takamura. (2019). Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey's conjecture. Differential and Integral Equations. 32(1/2). 20 indexed citations

14.

Lai, N. & Yi Zhou. (2018). The sharp lifespan estimate for semilinear damped wave equation with Fujita critical power in higher dimensions. Journal de Mathématiques Pures et Appliquées. 123. 229–243. 20 indexed citations

15.

Lai, N. & Hiroyuki Takamura. (2018). Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity. Nonlinear Analysis Real World Applications. 45. 83–96. 17 indexed citations

16.

Lai, N., et al.. (2016). Finite time blow‐up for a kind of initial‐boundary value problem of semilinear damped wave equation. Mathematical Methods in the Applied Sciences. 40(4). 1223–1230. 8 indexed citations

17.

Lai, N. & Yi Zhou. (2016). Nonexistence of global solutions to critical semilinear wave equations in exterior domain in high dimensions. Nonlinear Analysis. 143. 89–104. 6 indexed citations

18.

Lai, N. & Jianli Liu. (2015). Global weak and smooth solutions of the equation for timelike extremal surface in Minkowski space. Journal of Mathematical Analysis and Applications. 428(2). 1135–1146. 2 indexed citations

19.

Lai, N. & Yi Zhou. (2014). An elementary proof of Strauss conjecture. Journal of Functional Analysis. 267(5). 1364–1381. 31 indexed citations

20.

Lai, N. & Yi Zhou. (2011). Potential well and exact boundary controllability for semilinear wave equations. Advances in Differential Equations. 16(11/12). 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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