A. V. Bobylev

3.4k total citations
113 papers, 2.1k citations indexed

About

A. V. Bobylev is a scholar working on Applied Mathematics, Atomic and Molecular Physics, and Optics and Computational Mechanics. According to data from OpenAlex, A. V. Bobylev has authored 113 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 79 papers in Applied Mathematics, 34 papers in Atomic and Molecular Physics, and Optics and 32 papers in Computational Mechanics. Recurrent topics in A. V. Bobylev's work include Gas Dynamics and Kinetic Theory (76 papers), Advanced Thermodynamics and Statistical Mechanics (20 papers) and Fluid Dynamics and Turbulent Flows (17 papers). A. V. Bobylev is often cited by papers focused on Gas Dynamics and Kinetic Theory (76 papers), Advanced Thermodynamics and Statistical Mechanics (20 papers) and Fluid Dynamics and Turbulent Flows (17 papers). A. V. Bobylev collaborates with scholars based in Russia, Sweden and Italy. A. V. Bobylev's co-authors include C. Cercignani, Irene M. Gamba, José A. Carrillo, Carlo Cercignani, Sergej Rjasanow, G. Spiga, K. Nanbu, Giuseppe Toscani, Alex Hansen and E. H. Hauge and has published in prestigious journals such as Physical Review Letters, Journal of Computational Physics and Journal of Physics D Applied Physics.

In The Last Decade

A. V. Bobylev

108 papers receiving 1.9k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
A. V. Bobylev Russia 25 1.5k 982 508 428 381 113 2.1k
Irene M. Gamba United States 24 1.1k 0.8× 868 0.9× 301 0.6× 178 0.4× 292 0.8× 98 1.7k
Francis Filbet France 25 1.1k 0.8× 1.3k 1.3× 213 0.4× 205 0.5× 134 0.4× 68 2.4k
Laurent Desvillettes France 26 2.0k 1.3× 736 0.7× 568 1.1× 234 0.5× 1.0k 2.7× 84 2.4k
Clément Mouhot France 24 1.3k 0.9× 457 0.5× 512 1.0× 183 0.4× 739 1.9× 61 1.8k
Harold Grad United States 21 834 0.6× 627 0.6× 521 1.0× 357 0.8× 275 0.7× 39 2.3k
Gilberto M. Kremer Brazil 23 970 0.7× 685 0.7× 489 1.0× 453 1.1× 38 0.1× 150 2.1k
Mohammed Lemou France 21 723 0.5× 601 0.6× 317 0.6× 167 0.4× 226 0.6× 69 1.4k
John Mcleod United States 21 273 0.2× 320 0.3× 340 0.7× 134 0.3× 315 0.8× 74 1.5k
Luc Mieussens France 21 1.3k 0.9× 1.3k 1.3× 152 0.3× 136 0.3× 76 0.2× 55 1.7k
Ronald J. DiPerna United States 22 3.7k 2.5× 1.9k 1.9× 392 0.8× 144 0.3× 2.0k 5.2× 27 4.5k

Countries citing papers authored by A. V. Bobylev

Since Specialization
Citations

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

Fields of papers citing papers by A. V. Bobylev

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. V. Bobylev. 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 A. V. Bobylev. The network helps show where A. V. Bobylev may publish in the future.

Co-authorship network of co-authors of A. V. Bobylev

This figure shows the co-authorship network connecting the top 25 collaborators of A. V. Bobylev. A scholar is included among the top collaborators of A. V. Bobylev 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 A. V. Bobylev. A. V. Bobylev 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.
Bobylev, A. V. & Sergey V. Meleshko. (2021). On group symmetries of the hydrodynamic equations for rarefied gas. Kinetic and Related Models. 14(3). 469–469. 2 indexed citations
2.
Bobylev, A. V. & Irene M. Gamba. (2016). Upper Maxwellian bounds for the Boltzmann equation with pseudo-Maxwell molecules. Kinetic and Related Models. 10(3). 573–585. 3 indexed citations
3.
Bobylev, A. V., et al.. (2012). Boltzmann equation and hydrodynamics at the Burnett level. Kinetic and Related Models. 5(2). 237–260. 11 indexed citations
4.
Bobylev, A. V., et al.. (2010). Construction of Normal Discrete Velocity Models of the Boltzmann Equation. Il Nuovo Cimento C. 33(1). 257–264. 2 indexed citations
5.
Bobylev, A. V., et al.. (2008). On some properties of linear and linearized Boltzmann collision operators for hard spheres. Kinetic and Related Models. 1(4). 521–555. 6 indexed citations
6.
Bobylev, A. V. & Taku Ohwada. (2001). The error of the splitting scheme for solving evolutionary equations. Applied Mathematics Letters. 14(1). 45–48. 15 indexed citations
7.
Bobylev, A. V. & Carlo Cercignani. (1999). On the Rate of Entropy Production for the Boltzmann Equation. Journal of Statistical Physics. 94(3). 603–618. 24 indexed citations
8.
Struckmeier, Jens & A. V. Bobylev. (1995). Numerical Simulation of the Stationary One-Dimensional Boltzmann Equation by Particle Methods. European Journal of Mechanics - B/Fluids. 15(1). 103–118. 10 indexed citations
9.
Bobylev, A. V., et al.. (1995). On approximation of the Boltzmann equation by discrete velocity models. HAL (Le Centre pour la Communication Scientifique Directe). 7 indexed citations
10.
Bobylev, A. V., et al.. (1992). A kinetic model of the agglutination process. Mathematical Biosciences. 109(1). 1–10. 10 indexed citations
11.
Bobylev, A. V.. (1982). The Chapman-Enskog and Grad methods for solving the Boltzmann equation. Soviet physics. Doklady. 262(1). 29. 174 indexed citations
12.
Bobylev, A. V.. (1981). Asymptotic properties of solutions of the Boltzmann equation. Soviet physics. Doklady. 261(5). 1099–1104. 3 indexed citations
13.
Bobylev, A. V.. (1981). The Poincaré theorem, the Boltzmann equation, and equations of the Korteweg-de Vries type. 256(6). 1341–1346. 2 indexed citations
14.
Bobylev, A. V.. (1980). On the structure of spatially homogeneous normal solutions of the nonlinear Boltzmann equation for a mixture of gases. Soviet physics. Doklady. 250(2). 340–344. 1 indexed citations
15.
Bobylev, A. V., et al.. (1977). The maximum principle for discrete models of the Boltzmann equation and the relation of integrals of direct and inverse collisions of the Boltzmann equation. 233. 519–522. 1 indexed citations
16.
Bobylev, A. V.. (1976). One class of invariant solutions of the Boltzmann equation. Soviet physics. Doklady. 231. 571. 23 indexed citations
17.
Bobylev, A. V.. (1975). Fourier transform method in the theory of the Boltzmann equation for Maxwellian molecules. 225(12). 1041. 15 indexed citations
18.
Bobylev, A. V.. (1975). Expansion of the Boltzmann collision integral in a Landau series. 20. 740. 4 indexed citations
19.
Bobylev, A. V.. (1975). Exact solutions of the Boltzmann equation. 225(12). 1296–1299. 58 indexed citations
20.
Bobylev, A. V.. (1975). On the expansion of the Boltzmann collision integral into Landau series. 225. 535–538. 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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