Mark Vishik

1.7k total citations · 1 hit paper
14 papers, 1.2k citations indexed

About

Mark Vishik is a scholar working on Control and Systems Engineering, Computational Theory and Mathematics and Computer Networks and Communications. According to data from OpenAlex, Mark Vishik has authored 14 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Control and Systems Engineering, 8 papers in Computational Theory and Mathematics and 6 papers in Computer Networks and Communications. Recurrent topics in Mark Vishik's work include Stability and Controllability of Differential Equations (10 papers), Advanced Mathematical Modeling in Engineering (8 papers) and Nonlinear Dynamics and Pattern Formation (6 papers). Mark Vishik is often cited by papers focused on Stability and Controllability of Differential Equations (10 papers), Advanced Mathematical Modeling in Engineering (8 papers) and Nonlinear Dynamics and Pattern Formation (6 papers). Mark Vishik collaborates with scholars based in Russia, Germany and United States. Mark Vishik's co-authors include Vladimir V. Chepyzhov, Bernold Fiedler, Edriss S. Titi, Giovanni Prouse, Vittorino Pata, Arnd Scheel and Sergey Zelik and has published in prestigious journals such as Journal de Mathématiques Pures et Appliquées, Discrete and Continuous Dynamical Systems and Advances in Differential Equations.

In The Last Decade

Mark Vishik

13 papers receiving 996 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Attractors for Equations of Mathematical Physics

2001 763 citations Vladimir V. Chepyzhov, Mark Vishik profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Mark Vishik Russia	9	1.0k	643	448	358	348	14	1.2k
Pedro Marín-Rubio Spain	22	1.2k 1.2×	776 1.2×	719 1.6×	229 0.6×	396 1.1×	62	1.3k
Anı́bal Rodrı́guez-Bernal Spain	18	779 0.8×	770 1.2×	601 1.3×	142 0.4×	342 1.0×	89	1.2k
Caidi Zhao China	22	1.1k 1.1×	582 0.9×	527 1.2×	419 1.2×	350 1.0×	97	1.3k
Tomasz Dłotko Poland	16	712 0.7×	470 0.7×	464 1.0×	114 0.3×	418 1.2×	60	955
A. Eden Türkiye	14	565 0.6×	361 0.6×	191 0.4×	259 0.7×	318 0.9×	47	845
Chengkui Zhong China	26	1.8k 1.8×	1.5k 2.3×	877 2.0×	437 1.2×	839 2.4×	114	2.2k
Chunyou Sun China	18	1.1k 1.1×	785 1.2×	433 1.0×	183 0.5×	564 1.6×	81	1.1k
Jan W. Cholewa Poland	15	797 0.8×	513 0.8×	433 1.0×	80 0.2×	518 1.5×	52	941
Sergio Guerrero France	21	1.3k 1.3×	865 1.3×	537 1.2×	60 0.2×	824 2.4×	59	1.4k
Krzysztof P. Rybakowski Germany	15	365 0.4×	407 0.6×	352 0.8×	81 0.2×	296 0.9×	67	845

Countries citing papers authored by Mark Vishik

Since Specialization

Citations

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

Fields of papers citing papers by Mark Vishik

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mark Vishik

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

All Works

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14 of 14 papers shown

Vishik, Mark & Sergey Zelik. (2014). Attractors for the nonlinear elliptic boundary value problems andtheir parabolic singular limit. Communications on Pure & Applied Analysis. 13(5). 2059–2093. 1 indexed citations

Chepyzhov, Vladimir V. & Mark Vishik. (2010). Trajectory attractor for reaction-diffusion system with diffusioncoefficient vanishing in time. Discrete and Continuous Dynamical Systems. 28(4). 1493–1509. 8 indexed citations

Chepyzhov, Vladimir V., Edriss S. Titi, & Mark Vishik. (2007). On the convergence of solutions of the Leray-$\alpha $ model to the trajectory attractor of the 3D Navier-Stokes system. Discrete and Continuous Dynamical Systems. 17(3). 481–500. 56 indexed citations

Fiedler, Bernold & Mark Vishik. (2003). Quantitative homogenization of global attractors for reaction–diffusion systems with rapidly oscillating terms. Asymptotic Analysis. 34(2). 159–185. 13 indexed citations

Chepyzhov, Vladimir V. & Mark Vishik. (2001). Attractors for Equations of Mathematical Physics. 763 indexed citations breakdown →

Fiedler, Bernold & Mark Vishik. (2001). Quantitative homogenization of analytic semigroups and reaction-diffusion equations with Diophantine spatial frequencies. Advances in Differential Equations. 6(11). 14 indexed citations

Fiedler, Bernold, Arnd Scheel, & Mark Vishik. (1998). Large patterns of elliptic systems in infinite cylinders. Journal de Mathématiques Pures et Appliquées. 77(9). 879–907. 21 indexed citations

Pata, Vittorino, Giovanni Prouse, & Mark Vishik. (1998). Traveling waves of dissipative nonautonomous hyperbolic equations in a strip. Advances in Differential Equations. 3(2). 26 indexed citations

Chepyzhov, Vladimir V. & Mark Vishik. (1997). Evolution equations and their trajectory attractors. Journal de Mathématiques Pures et Appliquées. 76(10). 913–964. 184 indexed citations

10.

Chepyzhov, Vladimir V. & Mark Vishik. (1996). Trajectory attractors for the 2D Navier-Stokes system and some generalizations. Topological Methods in Nonlinear Analysis. 8(2). 217–217. 18 indexed citations

11.

Chepyzhov, Vladimir V. & Mark Vishik. (1996). Trajectory attractors for reaction-diffusion systems. Topological Methods in Nonlinear Analysis. 7(1). 49–49. 52 indexed citations

12.

Chepyzhov, Vladimir V. & Mark Vishik. (1994). Periodic processes and non-autonomous evolution equations with time-periodic terms. Topological Methods in Nonlinear Analysis. 4(1). 1–1. 6 indexed citations

13.

Vishik, Mark & Vladimir V. Chepyzhov. (1994). Attractors of non-autonomous partial differential equations and their dimension. Czech Digital Mathematics Library (Institute of Mathematics CAS). 221–234. 1 indexed citations

14.

Chepyzhov, Vladimir V. & Mark Vishik. (1992). Non-autonomous evolution equations with almost periodic symbols. Rendiconti del Seminario Matematico e Fisico di Milano. 62(1). 185–213.

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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