Peter W. Bates
Impact in
- Applied Mathematics top 0.2%
- Nonlinear Partial Differential Equations
- Nonlinear Differential Equations Analysis
- Computational Theory and Mathematics top 0.1%
- Advanced Mathematical Modeling in Engineering
Papers in
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- Advanced Mathematical Modeling in Engineering 38
-
- Nonlinear Partial Differential Equations 18
- Co-authors
- Kening Lu (15 shared papers)Bixiang Wang (4 shared papers)Paul C. Fife (5 shared papers)Nicholas D. Alikakos (10 shared papers)Adam Chmaj (5 shared papers)Xinfu Chen (7 shared papers)Xiaofeng Ren (2 shared papers)Xuefeng Wang (1 shared paper)
- Journals
- Journal of Differential Equations (11 papers)Transactions of the American Mathematical Society (6 papers)Nonlinear Analysis (5 papers)SIAM Journal on Mathematical Analysis (5 papers)Archive for Rational Mechanics and Analysis (4 papers)
- Partner nations
- United StatesChinaGreece
In The Last Decade
Peter W. Bates
96 papers receiving 4.2k citations
Peter W. Bates's Hit Papers
Peers
Comparison fields: 5 of 112
- Applied Mathematics 1.5k
- Computational Theory and Mathematics 2.1k
- Modeling and Simulation 512
- Numerical Analysis 551
- Mathematical Physics 868
Countries citing papers authored by Peter W. Bates
This map shows the geographic impact of Peter W. Bates'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 Peter W. Bates with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter W. Bates more than expected).
Fields of papers citing papers by Peter W. Bates
This network shows the impact of papers produced by Peter W. Bates. 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 Peter W. Bates. The network helps show where Peter W. Bates may publish in the future.
Co-authors
The 25 scholars most cited alongside Peter W. Bates, 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 98 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Traveling Waves in a Convolution Model for Phase Transitions Hit paper breakdown → | 1997 | 416 |
| 2 | Random attractors for stochastic reaction–diffusion equations on unbounded domains Hit paper breakdown → | 2008 | 327 |
| 3 | 2006 | 252 | |
| 4 | 1994 | 240 | |
| 5 | 2001 | 220 | |
| 6 | 1999 | 161 | |
| 7 | 2006 | 147 | |
| 8 | 1991 | 146 | |
| 9 | 1999 | 141 | |
| 10 | 1993 | 140 | |
| 11 | 2014 | 139 | |
| 12 | 2003 | 126 | |
| 13 | 1999 | 119 | |
| 14 | 1998 | 117 | |
| 15 | 2007 | 102 | |
| 16 | 2008 | 98 | |
| 17 | 2005 | 81 | |
| 18 | 1999 | 79 | |
| 19 | 2000 | 79 | |
| 20 | 2008 | 71 |
About Peter W. Bates
Peter W. Bates is a scholar working on Computational Theory and Mathematics, Applied Mathematics, Control and Systems Engineering, Mathematical Physics and Materials Chemistry, having authored 98 papers that have together received 4.7k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (38 papers), Stability and Controllability of Differential Equations (27 papers), Solidification and crystal growth phenomena (21 papers), Nonlinear Partial Differential Equations (18 papers), Nonlinear Dynamics and Pattern Formation (12 papers), Mathematical and Theoretical Epidemiology and Ecology Models (10 papers), Stochastic processes and statistical mechanics (9 papers) and Differential Equations and Numerical Methods (9 papers). The work is most often cited by research in Applied Mathematics (1.5k citations), Computational Theory and Mathematics (2.1k citations), Modeling and Simulation (512 citations), Numerical Analysis (551 citations) and Mathematical Physics (868 citations). Peter W. Bates has collaborated with scholars based in United States, China and Greece. Frequent co-authors include Kening Lu, Bixiang Wang, Paul C. Fife, Nicholas D. Alikakos, Adam Chmaj, Xinfu Chen, Xiaofeng Ren, Xuefeng Wang, Giorgio Fusco and Hannelore Lisei. Their work appears in journals such as Journal of Differential Equations, Transactions of the American Mathematical Society, Nonlinear Analysis, SIAM Journal on Mathematical Analysis and Archive for Rational Mechanics and Analysis.
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.