James Serrin
Impact in
- Applied Mathematics top 0.01%
- Nonlinear Partial Differential Equations
- Navier-Stokes equation solutions
- Nonlinear Differential Equations Analysis
- Geometric Analysis and Curvature Flows
- Differential Equations and Boundary Problems
- Mathematical Physics top 0.05%
- Advanced Mathematical Physics Problems
Papers in
-
- Nonlinear Partial Differential Equations 60
- Differential Equations and Boundary Problems 35
- Nonlinear Differential Equations Analysis 16
-
- Advanced Mathematical Modeling in Engineering 73
- Co-authors
- Patrizia Pucci (38 shared papers)James E. Dunn (3 shared papers)L. A. Peletier (11 shared papers)Henghui Zou (8 shared papers)Howard A. Levine (4 shared papers)D. G. Aronson (2 shared papers)Kevin McLeod (2 shared papers)Howard Jenkins (5 shared papers)
- Journals
- Archive for Rational Mechanics and Analysis (30 papers)Indiana University Mathematics Journal (11 papers)Journal of Differential Equations (10 papers)Acta Mathematica (6 papers)Transactions of the American Mathematical Society (6 papers)
- Partner nations
- United StatesItalyNetherlands
In The Last Decade
James Serrin
168 papers receiving 10.6k citations
James Serrin's Hit Papers
Peers
Comparison fields: 5 of 106
- Applied Mathematics 8.8k
- Mathematical Physics 4.4k
- Computational Theory and Mathematics 6.2k
- Numerical Analysis 1.0k
- Computational Mechanics 1.9k
Countries citing papers authored by James Serrin
This map shows the geographic impact of James Serrin'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 James Serrin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites James Serrin more than expected).
Fields of papers citing papers by James Serrin
This network shows the impact of papers produced by James Serrin. 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 James Serrin. The network helps show where James Serrin may publish in the future.
Co-authors
The 25 scholars most cited alongside James Serrin, 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 180 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | A symmetry problem in potential theory Hit paper breakdown → | 1971 | 831 |
| 2 | Mathematical Principles of Classical Fluid Mechanics Hit paper breakdown → | 1959 | 736 |
| 3 | Local behavior of solutions of quasi-linear equations Hit paper breakdown → | 1964 | 720 |
| 4 | On the interior regularity of weak solutions of the Navier-Stokes equations Hit paper breakdown → | 1962 | 688 |
| 5 | 1985 | 358 | |
| 6 | 1986 | 340 | |
| 7 | 1969 | 337 | |
| 8 | The Maximum Principle Hit paper breakdown → | 2007 | 336 |
| 9 | 1959 | 303 | |
| 10 | 1986 | 294 | |
| 11 | 1967 | 263 | |
| 12 | 2002 | 260 | |
| 13 | 1987 | 205 | |
| 14 | 1997 | 199 | |
| 15 | Pathological solutions of elliptic differential equations | 1964 | 181 |
| 16 | 1996 | 180 | |
| 17 | 1985 | 176 | |
| 18 | 1959 | 171 | |
| 19 | 1965 | 168 | |
| 20 | 2003 | 163 |
About James Serrin
James Serrin is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Control and Systems Engineering and Numerical Analysis, having authored 180 papers that have together received 12.3k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (73 papers), Nonlinear Partial Differential Equations (60 papers), Differential Equations and Boundary Problems (35 papers), Stability and Controllability of Differential Equations (25 papers), Differential Equations and Numerical Methods (22 papers), Advanced Mathematical Physics Problems (20 papers), Nonlinear Differential Equations Analysis (16 papers) and Numerical methods for differential equations (10 papers). The work is most often cited by research in Applied Mathematics (8.8k citations), Mathematical Physics (4.4k citations), Computational Theory and Mathematics (6.2k citations), Numerical Analysis (1.0k citations) and Computational Mechanics (1.9k citations). James Serrin has collaborated with scholars based in United States, Italy and Netherlands. Frequent co-authors include Patrizia Pucci, James E. Dunn, L. A. Peletier, Henghui Zou, Howard A. Levine, D. G. Aronson, Kevin McLeod, Howard Jenkins, Norman G. Meyers and Casper Goffman. Their work appears in journals such as Archive for Rational Mechanics and Analysis, Indiana University Mathematics Journal, Journal of Differential Equations, Acta Mathematica and Transactions of the American Mathematical Society.
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.