Patrick Penel
Impact in
- Applied Mathematics top 1%
- Navier-Stokes equation solutions
- Nonlinear Partial Differential Equations
- Nonlinear Differential Equations Analysis
- Modeling and Simulation top 10%
- Fractional Differential Equations Solutions
Papers in
-
- Navier-Stokes equation solutions 50
- Nonlinear Partial Differential Equations 4
- Differential Equations and Boundary Problems 2
- Nonlinear Differential Equations Analysis 2
- Advanced Harmonic Analysis Research 1
- Co-authors
- Jiřı́ Neustupa (27 shared papers)Milan Pokorný (3 shared papers)Šárka Nečasová (11 shared papers)Stanislav Kračmar (11 shared papers)P. L. Sulem (2 shared papers)Claude Bardos (2 shared papers)U. Frisch (2 shared papers)Hamid Bellout (3 shared papers)
In The Last Decade
Patrick Penel
53 papers receiving 653 citations
Peers
Comparison fields: 5 of 15
- Applied Mathematics 628
- Modeling and Simulation 20
- Mathematical Physics 30
- Aerospace Engineering 42
- Computational Mechanics 30
Countries citing papers authored by Patrick Penel
This map shows the geographic impact of Patrick Penel'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 Patrick Penel with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Patrick Penel more than expected).
Fields of papers citing papers by Patrick Penel
This network shows the impact of papers produced by Patrick Penel. 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 Patrick Penel. The network helps show where Patrick Penel may publish in the future.
Co-authors
The 24 scholars most cited alongside Patrick Penel, 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 59 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2004 | 91 | |
| 2 | 2002 | 58 | |
| 3 | 2001 | 50 | |
| 4 | 1976 | 42 | |
| 5 | 1999 | 37 | |
| 6 | 1979 | 36 | |
| 7 | 2010 | 31 | |
| 8 | 2004 | 28 | |
| 9 | An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity | 2002 | 24 |
| 10 | 2001 | 23 | |
| 11 | 2005 | 23 | |
| 12 | 2009 | 22 | |
| 13 | 2006 | 21 | |
| 14 | 2003 | 18 | |
| 15 | 2018 | 17 | |
| 16 | 2013 | 13 | |
| 17 | 2010 | 12 | |
| 18 | 2001 | 11 | |
| 19 | 2004 | 10 | |
| 20 | 2008 | 9 |
About Patrick Penel
Patrick Penel is a scholar working on Applied Mathematics, Mathematical Physics, Aerospace Engineering, Numerical Analysis and Computational Mechanics, having authored 59 papers that have together received 719 indexed citations. Recurring topics across this work include Navier-Stokes equation solutions (50 papers), Nonlinear Partial Differential Equations (4 papers), Guidance and Control Systems (3 papers), Differential Equations and Boundary Problems (2 papers), Nonlinear Differential Equations Analysis (2 papers), Stability and Controllability of Differential Equations (1 paper), Advanced Harmonic Analysis Research (1 paper) and Mathematical and Theoretical Epidemiology and Ecology Models (1 paper). The work is most often cited by research in Applied Mathematics (628 citations), Modeling and Simulation (20 citations), Mathematical Physics (30 citations), Aerospace Engineering (42 citations) and Computational Mechanics (30 citations). Patrick Penel has collaborated with scholars based in France, Czechia and Germany. Frequent co-authors include Jiřı́ Neustupa, Milan Pokorný, Šárka Nečasová, Stanislav Kračmar, P. L. Sulem, Claude Bardos, U. Frisch, Hamid Bellout, Emmanuel Duflos A and Philippe Vanheeghe. Their work appears in journals such as Comptes Rendus Mathématique, Nonlinear Analysis, Journal of Mathematical Fluid Mechanics, Springer monographs in mathematics and IEEE Transactions on Aerospace and Electronic Systems.
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.