V. A. Solonnikov
- Applied Mathematics top 0.02%
- Computational Theory and Mathematics top 0.05%
- Mathematical Physics top 0.1%
- Control and Systems Engineering top 0.5%
- Computational Mechanics top 0.5%
- Co-authors
- O. LadyženskajaO. A. LadyzhenskayaGerd GrubbPaolo MaremontiM. PadulaJohn G. HeywoodReimund RautmannA. V. Kazhikhov
- Topics
- Navier-Stokes equation solutions (76 papers)Advanced Mathematical Modeling in Engineering (66 papers)Differential Equations and Boundary Problems (43 papers)
In The Last Decade
V. A. Solonnikov
148 papers receiving 6.9k citations
Hit Papers
Peers
Comparison fields: 5 of 105
- Applied Mathematics 4.9k
- Computational Theory and Mathematics 3.6k
- Mathematical Physics 2.8k
- Control and Systems Engineering 1.9k
- Computational Mechanics 1.5k
Countries citing papers authored by V. A. Solonnikov
This map shows the geographic impact of V. A. Solonnikov'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 V. A. Solonnikov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites V. A. Solonnikov more than expected).
Fields of papers citing papers by V. A. Solonnikov
This network shows the impact of papers produced by V. A. Solonnikov. 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 V. A. Solonnikov. The network helps show where V. A. Solonnikov may publish in the future.
Co-authorship network of co-authors of V. A. Solonnikov
This figure shows the co-authorship network connecting the top 25 collaborators of V. A. Solonnikov. A scholar is included among the top collaborators of V. A. Solonnikov 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 V. A. Solonnikov. V. A. Solonnikov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 16 | |
| 2 | 3 | |
| 3 | 4 | |
| 4 | Recent developments in partial differential equations | 4 |
| 5 | Solvability of two stationary free boundary problems for the Navier-Stokes equations | 2 |
| 6 | Green function for the heat equation with oblique boundary conditions in an angle | 3 |
| 7 | On nonstationary Stokes problem in exterior domains | 64 |
| 8 | On the solvability of some initial boundary value problems of magnetofluidmechanics with Hall and ion-slip effects | 7 |
| 9 | 21 | |
| 10 | On a certain nonstationary problem in a dihedral angle. II | 1 |
| 11 | 2 | |
| 12 | 8 | |
| 13 | The Navier-Stokes equations : theory and numerical methods : proceedings of a conference held at Oberwolfach, FRG, Sept. 18-24, 1988 | 1 |
| 14 | 13 | |
| 15 | 10 | |
| 16 | Determination of the solutions of Navier-Stokes stationary boundary-value problems with infinite dissipation in unbounded regions | 1 |
| 17 | Solvability of boundary value and initial-boundary value problems for the Navier-Stokes equations in domains with noncompact boundaries | 3 |
| 18 | 1 | |
| 19 | Linear and Quasi-linear Equations of Parabolic Typebreakdown → | 5455 |
| 20 | 1 |
About V. A. Solonnikov
V. A. Solonnikov is a scholar working on Applied Mathematics, Numerical Analysis and Computational Theory and Mathematics, having authored 159 papers that have together received 8.0k indexed citations. Recurring topics across this work include Navier-Stokes equation solutions (76 papers), Advanced Mathematical Modeling in Engineering (66 papers) and Differential Equations and Boundary Problems (43 papers). The work is most often cited by research in Applied Mathematics (4.9k citations), Mathematical Physics (2.8k citations) and Computational Theory and Mathematics (3.6k citations). V. A. Solonnikov has collaborated with scholars based in Russia, Italy and Germany. Frequent co-authors include O. Ladyženskaja, O. A. Ladyzhenskaya, Gerd Grubb, Paolo Maremonti, M. Padula, John G. Heywood, Reimund Rautmann, A. V. Kazhikhov, Kyûya Masuda and И. В. Денисова. Their work appears in journals such as Annual Review of Fluid Mechanics, Lecture notes in mathematics and Journal of Differential Equations.
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.