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Article: On a nonlocal aggregation model with nonlinear diffusion
Title | On a nonlocal aggregation model with nonlinear diffusion |
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Authors | |
Keywords | Aggregation Nonlinear diffusion Nonlocal |
Issue Date | 2010 |
Citation | Discrete and Continuous Dynamical Systems, 2010, v. 27, n. 1, p. 301-323 How to Cite? |
Abstract | We consider a nonlocal aggregation equation with nonlinear diffusion which arises from the study of biological aggregation dynamics. As a degenerate parabolic problem, we prove the well-posedness, continuation criteria and smoothness of local solutions. For compactly supported nonnegative smooth initial data we prove that the gradient of the solution develops L x∞-norm blowup in finite time. |
Persistent Identifier | http://hdl.handle.net/10722/326826 |
ISSN | 2023 Impact Factor: 1.1 2023 SCImago Journal Rankings: 1.104 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Dong | - |
dc.contributor.author | Zhang, Xiaoyi | - |
dc.date.accessioned | 2023-03-31T05:26:48Z | - |
dc.date.available | 2023-03-31T05:26:48Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Discrete and Continuous Dynamical Systems, 2010, v. 27, n. 1, p. 301-323 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326826 | - |
dc.description.abstract | We consider a nonlocal aggregation equation with nonlinear diffusion which arises from the study of biological aggregation dynamics. As a degenerate parabolic problem, we prove the well-posedness, continuation criteria and smoothness of local solutions. For compactly supported nonnegative smooth initial data we prove that the gradient of the solution develops L x∞-norm blowup in finite time. | - |
dc.language | eng | - |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems | - |
dc.subject | Aggregation | - |
dc.subject | Nonlinear diffusion | - |
dc.subject | Nonlocal | - |
dc.title | On a nonlocal aggregation model with nonlinear diffusion | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.3934/dcds.2010.27.301 | - |
dc.identifier.scopus | eid_2-s2.0-77955386860 | - |
dc.identifier.volume | 27 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 301 | - |
dc.identifier.epage | 323 | - |
dc.identifier.isi | WOS:000274261300015 | - |