Sergey Zelik

4.7k total citations
137 papers, 3.0k citations indexed

About

Sergey Zelik is a scholar working on Control and Systems Engineering, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Sergey Zelik has authored 137 papers receiving a total of 3.0k indexed citations (citations by other indexed papers that have themselves been cited), including 107 papers in Control and Systems Engineering, 69 papers in Computational Theory and Mathematics and 56 papers in Mathematical Physics. Recurrent topics in Sergey Zelik's work include Stability and Controllability of Differential Equations (107 papers), Advanced Mathematical Modeling in Engineering (69 papers) and Nonlinear Dynamics and Pattern Formation (41 papers). Sergey Zelik is often cited by papers focused on Stability and Controllability of Differential Equations (107 papers), Advanced Mathematical Modeling in Engineering (69 papers) and Nonlinear Dynamics and Pattern Formation (41 papers). Sergey Zelik collaborates with scholars based in United Kingdom, Russia and Germany. Sergey Zelik's co-authors include Alain Miranville, Messoud Efendiev, Vittorino Pata, Varga Κ. Kalantarov, Laurence Cherfils, Alexander Mielke, Maurizio Grasselli, Giulio Schimperna, Dmitry Turaev and M. I. Vishik and has published in prestigious journals such as Physical Review Letters, SHILAP Revista de lepidopterología and Communications on Pure and Applied Mathematics.

In The Last Decade

Sergey Zelik

134 papers receiving 2.7k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Sergey Zelik United Kingdom 32 2.0k 1.7k 990 829 826 137 3.0k
Maurizio Grasselli Italy 31 1.1k 0.5× 2.0k 1.2× 547 0.6× 916 1.1× 1.9k 2.3× 162 3.0k
Songmu Zheng China 25 788 0.4× 1.2k 0.7× 393 0.4× 647 0.8× 898 1.1× 58 2.0k
Kening Lu United States 36 2.7k 1.4× 2.1k 1.2× 997 1.0× 731 0.9× 101 0.1× 105 3.8k
Victor A. Galaktionov United Kingdom 32 1.4k 0.7× 1.6k 0.9× 1.8k 1.8× 2.5k 3.1× 160 0.2× 140 4.2k
Eduard Feireisl Czechia 38 1.6k 0.8× 1.4k 0.8× 2.6k 2.6× 4.7k 5.6× 338 0.4× 275 5.9k
Alain Haraux France 26 1.9k 0.9× 1.7k 1.0× 1.4k 1.4× 1.2k 1.5× 49 0.1× 112 3.0k
Alessandra Lunardi Italy 21 1.2k 0.6× 1.6k 1.0× 1.2k 1.2× 2.0k 2.4× 70 0.1× 81 3.3k
M. I. Vishik Russia 24 1.2k 0.6× 1.0k 0.6× 747 0.8× 940 1.1× 44 0.1× 75 2.0k
Kevin Zumbrun United States 32 681 0.3× 481 0.3× 1.6k 1.6× 2.4k 2.8× 114 0.1× 146 3.4k
Fanghua Lin United States 36 516 0.3× 1.4k 0.8× 1.9k 1.9× 3.2k 3.8× 101 0.1× 119 4.2k

Countries citing papers authored by Sergey Zelik

Since Specialization
Citations

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

Fields of papers citing papers by Sergey Zelik

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Sergey Zelik

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

All Works

20 of 20 papers shown
1.
Li, Dandan, et al.. (2023). Deterministic and random attractors for a wave equation with sign changing damping. Izvestiya Mathematics. 87(1). 154–199. 3 indexed citations
2.
Zelik, Sergey, et al.. (2023). The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 155(1). 352–393.
3.
Zelik, Sergey & Alexei Ilyin. (2023). On a class of interpolation inequalities on the 2D sphere. Sbornik Mathematics. 214(3). 396–410. 1 indexed citations
4.
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.
5.
Zelik, Sergey, et al.. (2020). Uniform attractors for measure-driven quintic wave equations. Russian Mathematical Surveys. 75(2). 253–320. 7 indexed citations
6.
Sun, Chunyou, et al.. (2020). Infinite energy solutions for weakly damped quintic wave equations in ℝ³. Transactions of the American Mathematical Society. 374(5). 3093–3129. 4 indexed citations
7.
Ilyin, Alexei, et al.. (2016). Upper bounds for the attractor dimension of damped Navier-Stokes equations in R 2. View. 13 indexed citations
8.
Schimperna, Giulio & Sergey Zelik. (2012). Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations. Transactions of the American Mathematical Society. 365(7). 3799–3829. 11 indexed citations
9.
Turaev, Dmitry, A. G. Vladimirov, & Sergey Zelik. (2012). Long-Range Interaction and Synchronization of Oscillating Dissipative Solitons. Physical Review Letters. 108(26). 263906–263906. 59 indexed citations
10.
Vishik, M. I., Sergey Zelik, & Vladimir V. Chepyzhov. (2010). Strong trajectory attractor for a dissipative reaction-diffusion system. Doklady Mathematics. 82(3). 869–873. 20 indexed citations
11.
Gatti, Stefania, Alain Miranville, Vittorino Pata, & Sergey Zelik. (2010). Continuous families of exponential attractors for singularly perturbed equations with memory. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 140(2). 329–366. 17 indexed citations
12.
Pata, Vittorino & Sergey Zelik. (2006). Global attractors for semigroups of closed operators. Open MIND. 1 indexed citations
13.
Pata, Vittorino & Sergey Zelik. (2006). A remark on the weakly damped wave equation. Open MIND. 3 indexed citations
14.
Busca, Jérôme, Messoud Efendiev, & Sergey Zelik. (2003). Classification of positive solutions of semilinear elliptic equations. Comptes Rendus Mathématique. 338(1). 7–11. 2 indexed citations
15.
Miranville, Alain & Sergey Zelik. (2002). Robust exponential attractors for singularly perturbed phase-field type equations. SHILAP Revista de lepidopterología. 34 indexed citations
16.
Efendiev, Messoud, et al.. (2002). Existence and Longtime Behavior of Solutions of a Nonlinear Reaction-Diffusion System Arising in the Modeling of Biofilms (非線形拡散系とその周辺 研究集会報告集). 数理解析研究所講究録. 1258. 49–71. 19 indexed citations
17.
Efendiev, Messoud, Hermann J. Eberl, & Sergey Zelik. (2002). EXISTENCE AND LONGTIME BEHAVIOR OF SOLUTIONS OF A NONLINEAR REACTION-DIFFUSION SYSTEM ARISING IN THE MODELING OF BIOFILMS (Nonlinear Diffusive Systems and Related Topics). Kyoto University Research Information Repository (Kyoto University). 1258. 49–71. 4 indexed citations
18.
Zelik, Sergey. (2000). The attractor of a quasilinear hyperbolic equation with dissipation in ℝ n : Dimension andε-entropy. Mathematical Notes. 67(2). 248–251. 5 indexed citations
19.
Vishik, M. I. & Sergey Zelik. (1999). Regular attractor for a non-linear elliptic system in a cylindrical domain. Sbornik Mathematics. 190(6). 803–834. 14 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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