Peter W. Bates
- Applied Mathematics top 0.2%
- Nonlinear Partial Differential Equations 18
- Nonlinear Differential Equations Analysis 9
- Computational Theory and Mathematics top 0.1%
- Advanced Mathematical Modeling in Engineering 38
- Modeling and Simulation top 0.5%
- Numerical Analysis top 1%
- Differential Equations and Numerical Methods 9
- Mathematical Physics top 1%
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- Stability and Controllability of Differential Equations 27
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- Solidification and crystal growth phenomena 21
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- Nonlinear Dynamics and Pattern Formation 12
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- Mathematical and Theoretical Epidemiology and Ecology Models 10
- Co-authors
- Kening LuBixiang WangPaul C. FifeAdam ChmajNicholas D. AlikakosXinfu ChenXiaofeng RenGiorgio Fusco
- Journals
- Journal of Differential Equations (11 papers)Transactions of the American Mathematical Society (6 papers)SIAM Journal on Mathematical Analysis (5 papers)
- Partner nations
- United StatesChinaGreece
In The Last Decade
Peter W. Bates
96 papers receiving 4.2k citations
Hit Papers
Peers
Comparison fields: 5 of 113
- Applied Mathematics 1.4k
- Computational Theory and Mathematics 2.1k
- Modeling and Simulation 511
- Numerical Analysis 549
- Mathematical Physics 851
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-authorship network
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
| # | Work | ||
|---|---|---|---|
| 1 | 2022 | 5 | |
| 2 | 2021 | 15 | |
| 3 | 2018 | 2 | |
| 4 | 2017 | 6 | |
| 5 | 2017 | 5 | |
| 6 | 2013 | 5 | |
| 7 | Random attractors for stochastic reaction–diffusion equations on unbounded domainsbreakdown → | 2008 | 321 |
| 8 | 2008 | 7 | |
| 9 | 2007 | 102 | |
| 10 | 2006 | 144 | |
| 11 | 2005 | 81 | |
| 12 | 2005 | 48 | |
| 13 | 2002 | 37 | |
| 14 | Equilibria and Traveling Waves for Bistable Equations with Non-Local and Discrete Dissipation (Nonlinear Diffusive Systems--Dynamics and Asymptotics) | 2000 | 2 |
| 15 | Periodic traveling waves for a nonlocal integro-differential model | 1999 | 28 |
| 16 | A numerical scheme for the two phase Mullins-Sekerka problem. | 1995 | 20 |
| 17 | 1991 | 145 | |
| 18 | 1988 | 10 | |
| 19 | 1982 | 4 | |
| 20 | 1982 | 2 |
About Peter W. Bates
Peter W. Bates is a scholar working on Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Numerical Analysis and Modeling and Simulation, 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), Nonlinear Differential Equations Analysis (9 papers) and Differential Equations and Numerical Methods (9 papers). The work is most often cited by research in Applied Mathematics (1.4k citations), Computational Theory and Mathematics (2.1k citations), Modeling and Simulation (511 citations), Numerical Analysis (549 citations) and Mathematical Physics (851 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, Adam Chmaj, Nicholas D. Alikakos, Xinfu Chen, Xiaofeng Ren, Giorgio Fusco, Xuefeng Wang and Hannelore Lisei. Their work appears in journals such as Journal of Differential Equations, Transactions of the American Mathematical Society, SIAM Journal on Mathematical Analysis, Nonlinear 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.