Vladimir Sobolev

1.4k total citations
92 papers, 797 citations indexed

About

Vladimir Sobolev is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Computational Mechanics. According to data from OpenAlex, Vladimir Sobolev has authored 92 papers receiving a total of 797 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Statistical and Nonlinear Physics, 19 papers in Numerical Analysis and 17 papers in Computational Mechanics. Recurrent topics in Vladimir Sobolev's work include Differential Equations and Numerical Methods (18 papers), Combustion and flame dynamics (15 papers) and Mathematical and Theoretical Epidemiology and Ecology Models (12 papers). Vladimir Sobolev is often cited by papers focused on Differential Equations and Numerical Methods (18 papers), Combustion and flame dynamics (15 papers) and Mathematical and Theoretical Epidemiology and Ecology Models (12 papers). Vladimir Sobolev collaborates with scholars based in Russia, United Kingdom and Spain. Vladimir Sobolev's co-authors include Elena Shchepakina, Michael P. Mortell, Elena Shchepakina, С.С. Сажин, A. Pokrovskii, V. M. Gol′dshteĭn, Robert E. O’Malley, Valeri I. Babushok, A. V. Pokrovskiĭ and Andrei Korobeinikov and has published in prestigious journals such as International Journal of Heat and Mass Transfer, Chemical Engineering Science and Combustion and Flame.

In The Last Decade

Vladimir Sobolev

81 papers receiving 689 citations

Peers

Vladimir Sobolev

SNP

CNC

CSE

Xiao-Biao Lin United States

Michael P. Mortell Ireland

S.P. Banks United Kingdom

Stefano Maset Italy

Rossana Vermiglio Italy

Elena Shchepakina Russia

Xuan Zhao China

Hartmut Logemann United Kingdom

S.K. Elagan Saudi Arabia

Toshiyuki OGAWA Japan

Xiao-Biao Lin United States

Vladimir Sobolev

298 ×1.0

SNP

229 ×1.0

CNC

177 ×1.0

313 ×2.3

CSE

79 ×0.6

Citations per year, relative to Vladimir Sobolev Vladimir Sobolev (= 1×) peers Xiao-Biao Lin

Countries citing papers authored by Vladimir Sobolev

Since Specialization

Citations

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

Fields of papers citing papers by Vladimir Sobolev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Vladimir Sobolev

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

Sobolev, Vladimir, et al.. (2025). Padé approximants of canards and critical regimes of Darrieus wind turbine model. Mathematics in Engineering. 7(3). 194–207.

Антонов, Д.В., et al.. (2024). Heat transfer through a three-layer wall considering the contribution of phase change: A novel approach to the modelling of the process. International Journal of Heat and Mass Transfer. 226. 125500–125500. 2 indexed citations

Zhang, Lijun, et al.. (2024). New solitary waves in a convecting fluid. Chaos Solitons & Fractals. 183. 114953–114953. 3 indexed citations

Антонов, Д.В., П. А. Стрижак, Elena Shchepakina, Vladimir Sobolev, & С.С. Сажин. (2024). A COMBINED ANALYTICAL/NUMERICAL APPROACH TO THE MODELING OF THE PROCESSES LEADING TO PUFFING AND MICRO-EXPLOSION IN A COMPOSITE MULTI-COMPONENT FUEL/WATER DROPLET. Atomization and Sprays. 34(3). 31–51. 1 indexed citations

Антонов, Д.В., Elena Shchepakina, Vladimir Sobolev, et al.. (2023). A new solution to a weakly non-linear heat conduction equation in a spherical droplet: Basic idea and applications. International Journal of Heat and Mass Transfer. 219. 124880–124880. 2 indexed citations

Антонов, Д.В., Elena Shchepakina, Vladimir Sobolev, et al.. (2023). Dissociation of methane from a layer of methane-hydrate particles: A new simple model. International Journal of Heat and Mass Transfer. 213. 124225–124225. 4 indexed citations

Tonini, Simona, Gianpietro Cossali, Elena Shchepakina, Vladimir Sobolev, & С.С. Сажин. (2022). A model of droplet evaporation: New mathematical developments. Physics of Fluids. 34(7). 9 indexed citations

Sobolev, Vladimir. (2022). Dimensional Reduction of Optimal Tracking Problems with a Given Reference Trajectory. 1–3.

Korobeinikov, Andrei, Elena Shchepakina, & Vladimir Sobolev. (2019). A black swan and canard cascades in an SIR infectious disease model. Mathematical Biosciences & Engineering. 17(1). 725–736.

10.

Korobeinikov, Andrei, et al.. (2016). Passage to the limit in a singularly perturbed partial integro-differential system. Differential Equations. 52(9). 1115–1122. 3 indexed citations

11.

Sobolev, Vladimir, et al.. (2016). CONTROL OF A ONE RIGIT-LINK MANIPULATOR IN THE CASE OF NONSMOOTH TRAJECTORY. 493–497. 2 indexed citations

12.

Korobeinikov, Andrei, Elena Shchepakina, & Vladimir Sobolev. (2015). Paradox of enrichment and system order reduction: bacteriophages dynamics as case study. Mathematical Medicine and Biology A Journal of the IMA. 33(3). 359–369. 11 indexed citations

13.

Sobolev, Vladimir, et al.. (2014). Reduction of dimension of optimal estimation problems for dynamical systems with singular perturbations. Computational Mathematics and Mathematical Physics. 54(1). 45–58. 5 indexed citations

14.

Schneider, К. R., et al.. (2005). Control of integral manifolds loosing their attractivity in time. Journal of Mathematical Analysis and Applications. 315(2). 740–757. 4 indexed citations

15.

Sobolev, Vladimir, et al.. (2003). Models of Corporate Governance and Employee Participation: Peculiarities of Formation with the Post-Soviet Economic Transition. 9(2). 29. 1 indexed citations

16.

Peresada, S., et al.. (2003). Experimental Evaluation of the High Performance Vector Controlled Matrix Converter-Fed Induction Motor. Automatika. 44. 47–54. 4 indexed citations

17.

Sobolev, Vladimir & Elena Shchepakina. (1993). Self-ignition of dusty media. Combustion Explosion and Shock Waves. 29(3). 378–381. 17 indexed citations

18.

Sobolev, Vladimir, et al.. (1986). Stability of a volume discharge in the active medium of a cooled CO pulsed electroionization laser. Soviet physics. Technical physics. 31. 1336–1342. 6 indexed citations

19.

Sobolev, Vladimir & V. V. Strygin. (1978). Permissibility of changing over to precessional equations of gyroscopic systems. 13(5). 10–17. 2 indexed citations

20.

Strygin, V. V. & Vladimir Sobolev. (1976). Effect of geometric and kinetic parameters and energy dissipation on the orientation stability of satellites with double spin. Cosmic Research. 14(3). 366–371. 15 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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