П. И. Плотников

1.5k total citations
60 papers, 808 citations indexed

About

П. И. Плотников is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Computational Mechanics. According to data from OpenAlex, П. И. Плотников has authored 60 papers receiving a total of 808 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Computational Theory and Mathematics, 22 papers in Applied Mathematics and 17 papers in Computational Mechanics. Recurrent topics in П. И. Плотников's work include Advanced Mathematical Modeling in Engineering (19 papers), Navier-Stokes equation solutions (18 papers) and Stability and Controllability of Differential Equations (9 papers). П. И. Плотников is often cited by papers focused on Advanced Mathematical Modeling in Engineering (19 papers), Navier-Stokes equation solutions (18 papers) and Stability and Controllability of Differential Equations (9 papers). П. И. Плотников collaborates with scholars based in Russia, France and Poland. П. И. Плотников's co-authors include John Toland, Jan Sokołowski, Gérard Iooss, Stephan Luckhaus, M. Padula, Pierluigi Colli, E. M. Rudoy, Jean‐François Ganghoffer, J.F. Ganghoffer and А. П. Чупахин and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences.

In The Last Decade

П. И. Плотников

57 papers receiving 720 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
П. И. Плотников Russia 17 282 235 216 190 178 60 808
Nikolay Kuznetsov Russia 14 97 0.3× 333 1.4× 209 1.0× 58 0.3× 155 0.9× 73 799
B. Buffoni United Kingdom 12 235 0.8× 176 0.7× 201 0.9× 257 1.4× 27 0.2× 24 607
Vassilios A. Dougalis Greece 21 123 0.4× 161 0.7× 527 2.4× 477 2.5× 581 3.3× 77 1.4k
M. D. Groves United Kingdom 17 138 0.5× 427 1.8× 267 1.2× 425 2.2× 61 0.3× 48 851
A. T. Il’íchev Russia 13 64 0.2× 74 0.3× 114 0.5× 153 0.8× 89 0.5× 69 538
Daniel Coutand United States 14 768 2.7× 65 0.3× 470 2.2× 46 0.2× 429 2.4× 26 1.0k
Pedro Embid United States 10 248 0.9× 126 0.5× 101 0.5× 38 0.2× 332 1.9× 12 564
V. I. Yudovich Russia 14 442 1.6× 21 0.1× 210 1.0× 164 0.9× 389 2.2× 54 841
Mo Jia-Qi China 21 334 1.2× 90 0.4× 68 0.3× 370 1.9× 41 0.2× 179 1.2k
Liwei Xu China 18 106 0.4× 61 0.3× 174 0.8× 51 0.3× 481 2.7× 55 851

Countries citing papers authored by П. И. Плотников

Since Specialization
Citations

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

Fields of papers citing papers by П. И. Плотников

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by П. И. Плотников. 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 П. И. Плотников. The network helps show where П. И. Плотников may publish in the future.

Co-authorship network of co-authors of П. И. Плотников

This figure shows the co-authorship network connecting the top 25 collaborators of П. И. Плотников. A scholar is included among the top collaborators of П. И. Плотников 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 П. И. Плотников. П. И. Плотников 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.
Плотников, П. И. & Jan Sokołowski. (2023). Geometric Aspects of Shape Optimization. Journal of Geometric Analysis. 33(7). 9 indexed citations
2.
Плотников, П. И.. (2023). Weak Solutions of 3D Compressible Navier–Stokes Equations in Critical Case. Journal of Mathematical Fluid Mechanics. 25(3). 1 indexed citations
3.
Плотников, П. И. & Jan Sokołowski. (2023). Gradient Flows in Shape Optimization Theory. Doklady Mathematics. 108(2). 387–391. 2 indexed citations
4.
Плотников, П. И.. (2020). Volumetric growth of neo-Hookean incompressible material. Sibirskie Elektronnye Matematicheskie Izvestiya. 17. 1990–2027.
5.
Плотников, П. И., et al.. (2019). The existence theorem for weak solution of optimal feedback control problem for the modified Kelvin-Voigt model of weakly concentrated aqueous polymer solutions. Доклады Академии наук. 488(2). 133–136. 5 indexed citations
6.
Плотников, П. И., et al.. (2015). Steady 3D viscous compressible flows with adiabatic exponent γ∈(1,∞). Journal de Mathématiques Pures et Appliquées. 104(1). 58–82. 17 indexed citations
7.
Ganghoffer, Jean‐François, П. И. Плотников, & Jan Sokołowski. (2014). Mathematical Modeling of Volumetric Material Growth in Thermoelasticity. Journal of Elasticity. 117(1). 111–138. 6 indexed citations
8.
Плотников, П. И., et al.. (2012). Properties of the solution of a variational problem concerning the motion of a rigid body in a Stokes fluid. Doklady Mathematics. 86(2). 615–621. 1 indexed citations
9.
Плотников, П. И. & E. M. Rudoy. (2011). Shape sensitivity analysis of energy integrals for bodies with rigid inclusions and cracks. Doklady Mathematics. 84(2). 681–684. 5 indexed citations
10.
Iooss, Gérard & П. И. Плотников. (2009). Existence of a directional Stokes drift in asymmetrical three-dimensional travelling gravity waves. Comptes Rendus Mécanique. 337(9-10). 633–638. 2 indexed citations
11.
Плотников, П. И., et al.. (2009). Inhomogeneous boundary value problems for compressible Navier–Stokes and transport equations. Journal de Mathématiques Pures et Appliquées. 92(2). 113–162. 17 indexed citations
12.
Iooss, Gérard, П. И. Плотников, & John Toland. (2005). Standing Waves on an Infinitely Deep Perfect Fluid Under Gravity. Archive for Rational Mechanics and Analysis. 177(3). 367–478. 93 indexed citations
13.
Плотников, П. И., et al.. (2005). Kinetic formulation for the Graetz–Nusselt ultra-parabolic equation. Journal of Mathematical Analysis and Applications. 304(2). 703–724. 8 indexed citations
14.
Iooss, Gérard, П. И. Плотников, & John Toland. (2004). Standing waves on infinite depth. Comptes Rendus Mathématique. 338(5). 425–431. 6 indexed citations
15.
Плотников, П. И. & John Toland. (2001). Nash-Moser Theory for Standing Water Waves. Archive for Rational Mechanics and Analysis. 159(1). 1–83. 59 indexed citations
16.
Плотников, П. И.. (1999). Forward-backward parabolic equations and hysteresis. Journal of Mathematical Sciences. 93(5). 747–766. 18 indexed citations
17.
Плотников, П. И.. (1997). Passage to the limit over a small parameter in the cahn-hilliard equations. Siberian Mathematical Journal. 38(3). 550–566. 3 indexed citations
18.
Плотников, П. И.. (1993). Generalized solutions to a free boundary problem of motion of a non-newtonian fluid. Siberian Mathematical Journal. 34(4). 704–716. 11 indexed citations
19.
Плотников, П. И.. (1983). Justification of the Stokes hypothesis in the theory of surface waves. SPhD. 28. 232. 4 indexed citations
20.
Плотников, П. И.. (1980). Solvability of the problem of spatial gravitational waves on the surface of an ideal fluid. Soviet physics. Doklady. 25. 170. 7 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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