期刊
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
卷 9, 期 6, 页码 1617-1637出版社
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/cpaa.2010.9.1617
关键词
Aggregation; nonlocal interaction
资金
- NSF [DMS-0907931, DMS-0638481, DMS-0908415, DMS-0635983]
- Direct For Mathematical & Physical Scien [0907931] Funding Source: National Science Foundation
- Division Of Mathematical Sciences [0907931] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [908415] Funding Source: National Science Foundation
We present an energy-methods-based proof of the existence and uniqueness of solutions of a nonlocal aggregation equation with degenerate diffusion. The equation we study is relevant to models of biological aggregation.
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