Alexei Ilyin

985 total citations
55 papers, 621 citations indexed

About

Alexei Ilyin is a scholar working on Applied Mathematics, Mathematical Physics and Control and Systems Engineering. According to data from OpenAlex, Alexei Ilyin has authored 55 papers receiving a total of 621 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Applied Mathematics, 32 papers in Mathematical Physics and 27 papers in Control and Systems Engineering. Recurrent topics in Alexei Ilyin's work include Stability and Controllability of Differential Equations (27 papers), Navier-Stokes equation solutions (23 papers) and Advanced Mathematical Physics Problems (20 papers). Alexei Ilyin is often cited by papers focused on Stability and Controllability of Differential Equations (27 papers), Navier-Stokes equation solutions (23 papers) and Advanced Mathematical Physics Problems (20 papers). Alexei Ilyin collaborates with scholars based in Russia, United Kingdom and China. Alexei Ilyin's co-authors include Edriss S. Titi, Vladimir V. Chepyzhov, Evelyn Lunasin, Sergey Zelik, Anatoli Babin, Alain Miranville, Ари Лаптев, D. E. Edmunds, Yu. G. Rykov and Michele V. Bartuccelli and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Physica D Nonlinear Phenomena and Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences.

In The Last Decade

Alexei Ilyin

52 papers receiving 542 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Alexei Ilyin Russia	14	338	304	290	166	153	55	621
Michele Coti Zelati United States	15	252 0.7×	203 0.7×	143 0.5×	207 1.2×	124 0.8×	39	498
Daniel Coutand United States	14	768 2.3×	171 0.6×	470 1.6×	429 2.6×	239 1.6×	26	1.0k
V. I. Yudovich Russia	14	442 1.3×	111 0.4×	210 0.7×	389 2.3×	127 0.8×	54	841
A. Eden Türkiye	14	191 0.6×	565 1.9×	318 1.1×	77 0.5×	361 2.4×	47	845
Ralph Chill Germany	18	487 1.4×	392 1.3×	315 1.1×	65 0.4×	540 3.5×	52	879
Mohamed Ali Jendoubi France	15	344 1.0×	356 1.2×	211 0.7×	84 0.5×	508 3.3×	25	724
Roman Shvydkoy United States	17	558 1.7×	104 0.3×	335 1.2×	324 2.0×	45 0.3×	45	758
Toan T. Nguyen United States	12	362 1.1×	110 0.4×	189 0.7×	237 1.4×	94 0.6×	40	501
Anna L. Mazzucato United States	14	385 1.1×	64 0.2×	259 0.9×	218 1.3×	183 1.2×	40	653
V.I. Iudovich Russia	11	276 0.8×	114 0.4×	148 0.5×	249 1.5×	75 0.5×	21	506

Countries citing papers authored by Alexei Ilyin

Since Specialization

Citations

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

Fields of papers citing papers by Alexei Ilyin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexei Ilyin

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

Ilyin, Alexei, et al.. (2024). Lieb–Thirring Inequalities on Manifolds with Constant Negative Curvature. Journal of Geometric Analysis. 34(2).

Zelik, Sergey & Alexei Ilyin. (2023). On a class of interpolation inequalities on the 2D sphere. Sbornik Mathematics. 214(3). 396–410. 1 indexed citations

Zelik, Sergey & Alexei Ilyin. (2023). Об одном классе интерполяционных неравенств на сфере. Математический сборник. 214(3). 120–134. 1 indexed citations

Ilyin, Alexei, et al.. (2022). Estimates for the Dimension of Attractors of a Regularized Euler System with Dissipation on the Sphere. Mathematical Notes. 111(1-2). 47–57. 2 indexed citations

Ilyin, Alexei, et al.. (2022). Trajectory attractors for 3D damped Euler equations and their approximation. Discrete and Continuous Dynamical Systems - S. 15(8). 2275–2275.

Ilyin, Alexei, et al.. (2022). Sharp upper and lower bounds of the attractor dimension for 3D damped Euler–Bardina equations. Physica D Nonlinear Phenomena. 432. 133156–133156. 9 indexed citations

Zelik, Sergey, et al.. (2021). Оценки размерности аттракторов регуляризированнойсистемы Эйлера с диссипацией на сфере. Математические заметки. 111(1). 54–66. 4 indexed citations

Ilyin, Alexei & Vladimir V. Chepyzhov. (2017). On strong convergence of attractors of Navier–Stokes equations in the limit of vanishing viscosity. Mathematical Notes. 101(3-4). 746–750. 2 indexed citations

Ilyin, Alexei, Yu. G. Rykov, & Sergey Zelik. (2017). Hyperbolic relaxation of the 2D Navier–Stokes equations in a bounded domain. Physica D Nonlinear Phenomena. 376-377. 171–179. 3 indexed citations

10.

Ilyin, Alexei, et al.. (2016). Upper bounds for the attractor dimension of damped Navier-Stokes equations in R 2. View. 13 indexed citations

11.

Ilyin, Alexei & Yu. G. Rykov. (2016). On the closeness of trajectories for model quasi-gasdynamic equations. Doklady Mathematics. 94(2). 543–546. 2 indexed citations

12.

Ilyin, Alexei, et al.. (2009). О спектре оператора Стокса. Функциональный анализ и его приложения. 43(4). 14–25. 1 indexed citations

13.

Ilyin, Alexei & Edriss S. Titi. (2007). On the domain of analyticity and small scales for the solutions of the damped-driven 2d Navier–Stokes equations. Dynamics of Partial Differential Equations. 4(2). 111–127. 3 indexed citations

14.

Ilyin, Alexei & Edriss S. Titi. (2007). The Damped-Driven 2D Navier–Stokes System on Large Elongated Domains. Journal of Mathematical Fluid Mechanics. 10(2). 159–175. 7 indexed citations

15.

Ilyin, Alexei & Edriss S. Titi. (2006). Sharp Estimates for the Number of Degrees of Freedom for the Damped-Driven 2-D Navier-Stokes Equations. Journal of Nonlinear Science. 16(3). 233–253. 28 indexed citations

16.

Ilyin, Alexei. (2006). Lieb-thirring integral inequalities and sharp bounds for the dimension of the attractor of the Navier-Stokes equations with friction. Proceedings of the Steklov Institute of Mathematics. 255(1). 136–149. 3 indexed citations

17.

Bartuccelli, Michele V., Stephen A. Gourley, & Alexei Ilyin. (2002). Positivity and the attractor dimension in a fourth-order reaction-diffusion equation. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 458(2022). 1431–1446. 10 indexed citations

18.

Chepyzhov, Vladimir V. & Alexei Ilyin. (2001). A note on the fractal dimension of attractors of dissipative dynamical systems. Nonlinear Analysis. 44(6). 811–819. 30 indexed citations

19.

Ilyin, Alexei. (1998). Best constants in a class of polymultiplicative inequalities for derivatives. Sbornik Mathematics. 189(9). 1335–1359. 5 indexed citations

20.

Ilyin, Alexei, et al.. (1998). Точные постоянные для одного класса полимультипликативных неравенств для производных. Математический сборник. 189(9). 61–84. 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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