V. A. Solonnikov
Impact in
- Applied Mathematics top 0.02%
- Navier-Stokes equation solutions
- Nonlinear Partial Differential Equations
- Differential Equations and Boundary Problems
- Mathematical Physics top 0.1%
- Advanced Mathematical Physics Problems
- Numerical methods in inverse problems
Papers in
-
- Navier-Stokes equation solutions 76
- Differential Equations and Boundary Problems 43
-
- Advanced Mathematical Modeling in Engineering 66
- Co-authors
- O. Ladyženskaja (1 shared paper)O. A. Ladyzhenskaya (4 shared papers)Gerd Grubb (5 shared papers)Paolo Maremonti (4 shared papers)M. Padula (5 shared papers)Reimund Rautmann (6 shared papers)John G. Heywood (5 shared papers)A. V. Kazhikhov (1 shared paper)
In The Last Decade
V. A. Solonnikov
148 papers receiving 6.9k citations
V. A. Solonnikov's Hit Papers
Peers
Comparison fields: 5 of 105
- Applied Mathematics 4.9k
- Mathematical Physics 2.8k
- Computational Theory and Mathematics 3.6k
- Modeling and Simulation 893
- Numerical Analysis 1.0k
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-authors
The 25 scholars most cited alongside V. A. Solonnikov, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 159 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Linear and Quasi-linear Equations of Parabolic Type Hit paper breakdown → | 1968 | 5455 |
| 2 | 1977 | 254 | |
| 3 | 1978 | 133 | |
| 4 | 1978 | 128 | |
| 5 | 1980 | 96 | |
| 6 | 1991 | 95 | |
| 7 | 1977 | 77 | |
| 8 | 1988 | 67 | |
| 9 | 1983 | 66 | |
| 10 | On nonstationary Stokes problem in exterior domains | 1997 | 64 |
| 11 | 2003 | 57 | |
| 12 | 1977 | 56 | |
| 13 | 1981 | 55 | |
| 14 | 2003 | 55 | |
| 15 | 1990 | 54 | |
| 16 | 1981 | 52 | |
| 17 | 1992 | 48 | |
| 18 | 1973 | 48 | |
| 19 | 2003 | 47 | |
| 20 | 2001 | 44 |
About V. A. Solonnikov
V. A. Solonnikov is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Computational Mechanics, Mathematical Physics and Numerical Analysis, 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), Differential Equations and Boundary Problems (43 papers), Stability and Controllability of Differential Equations (24 papers), Advanced Mathematical Physics Problems (24 papers), Differential Equations and Numerical Methods (23 papers), Aquatic and Environmental Studies (19 papers) and Fluid Dynamics and Turbulent Flows (18 papers). The work is most often cited by research in Applied Mathematics (4.9k citations), Mathematical Physics (2.8k citations), Computational Theory and Mathematics (3.6k citations), Modeling and Simulation (893 citations) and Numerical Analysis (1.0k 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, Reimund Rautmann, John G. Heywood, A. V. Kazhikhov, Kyûya Masuda and И. В. Денисова. Their work appears in journals such as Topological Methods in Nonlinear Analysis, Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, Nonlinear Analysis, Lecture notes in mathematics and Journal of Mathematical Fluid Mechanics.
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.