Dmitry Vorotnikov
Impact in
- Applied Mathematics top 5%
- Navier-Stokes equation solutions
- Geometric Analysis and Curvature Flows
- Nonlinear Partial Differential Equations
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- Advanced Mathematical Modeling in Engineering
Papers in
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- Navier-Stokes equation solutions 7
- Geometric Analysis and Curvature Flows 7
- Nonlinear Partial Differential Equations 6
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- Advanced Mathematical Modeling in Engineering 12
- Contact Mechanics and Variational Inequalities 4
- Co-authors
- V. G. Zvyagin (12 shared papers)V. B. Surya Prasath (5 shared papers)Kannappan Palaniappan (1 shared paper)Guna Seetharaman (1 shared paper)Rengarajan Pelapur (1 shared paper)José Miguel Urbano (2 shared papers)Wenhui Shi (2 shared papers)
- Journals
- Journal of Differential Equations (4 papers)Journal of Mathematical Analysis and Applications (3 papers)Advances in Differential Equations (2 papers)Nonlinear Analysis (2 papers)Nonlinear Analysis Real World Applications (2 papers)
- Partner nations
- PortugalRussiaUnited States
In The Last Decade
Dmitry Vorotnikov
30 papers receiving 351 citations
Peers
Comparison fields: 5 of 52
- Applied Mathematics 168
- Computational Theory and Mathematics 132
- Modeling and Simulation 31
- Control and Systems Engineering 138
- Mathematical Physics 52
Countries citing papers authored by Dmitry Vorotnikov
This map shows the geographic impact of Dmitry Vorotnikov'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 Dmitry Vorotnikov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dmitry Vorotnikov more than expected).
Fields of papers citing papers by Dmitry Vorotnikov
This network shows the impact of papers produced by Dmitry Vorotnikov. 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 Dmitry Vorotnikov. The network helps show where Dmitry Vorotnikov may publish in the future.
Co-authors
The 7 scholars most cited alongside Dmitry Vorotnikov, 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 32 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2008 | 65 | |
| 2 | 2015 | 56 | |
| 3 | 2016 | 45 | |
| 4 | 2013 | 26 | |
| 5 | 2015 | 24 | |
| 6 | 2008 | 22 | |
| 7 | 2006 | 20 | |
| 8 | 2004 | 17 | |
| 9 | 2012 | 16 | |
| 10 | 2011 | 15 | |
| 11 | 2006 | 14 | |
| 12 | 2015 | 13 | |
| 13 | 2007 | 10 | |
| 14 | 2016 | 6 | |
| 15 | 2013 | 5 | |
| 16 | 2023 | 5 | |
| 17 | 2008 | 4 | |
| 18 | 2006 | 4 | |
| 19 | 2004 | 3 | |
| 20 | 2017 | 3 |
About Dmitry Vorotnikov
Dmitry Vorotnikov is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics and Computational Mechanics, having authored 32 papers that have together received 390 indexed citations. Recurring topics across this work include Stability and Controllability of Differential Equations (12 papers), Advanced Mathematical Modeling in Engineering (12 papers), Navier-Stokes equation solutions (7 papers), Geometric Analysis and Curvature Flows (7 papers), Nonlinear Partial Differential Equations (6 papers), Image and Signal Denoising Methods (4 papers), Mathematical Biology Tumor Growth (4 papers) and Contact Mechanics and Variational Inequalities (4 papers). The work is most often cited by research in Applied Mathematics (168 citations), Computational Theory and Mathematics (132 citations), Modeling and Simulation (31 citations), Control and Systems Engineering (138 citations) and Mathematical Physics (52 citations). Dmitry Vorotnikov has collaborated with scholars based in Portugal, Russia and United States. Frequent co-authors include V. G. Zvyagin, V. B. Surya Prasath, Kannappan Palaniappan, Guna Seetharaman, Rengarajan Pelapur, José Miguel Urbano and Wenhui Shi. Their work appears in journals such as Journal of Differential Equations, Journal of Mathematical Analysis and Applications, Advances in Differential Equations, Nonlinear Analysis and Nonlinear Analysis Real World Applications.
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.