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- Publisher Website: 10.1007/s00220-008-0669-0
- Scopus: eid_2-s2.0-61649094952
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Article: Finite-time singularities of an aggregation equation in ℝn with fractional dissipation
| Title | Finite-time singularities of an aggregation equation in ℝ<sup>n</sup> with fractional dissipation |
|---|---|
| Authors | |
| Issue Date | 2009 |
| Citation | Communications in Mathematical Physics, 2009, v. 287, n. 2, p. 687-703 How to Cite? |
| Abstract | We consider an aggregation equation in ℝn, n ≥ 2 with fractional dissipation, namely, ut + ∇ · (u∇K *u) =-v(-Δ)γ/2 where 0 ≤ γ < 1 and K is a nonnegative decreasing radial kernel with a Lipschitz point at the origin, e.g. K(x) = e -|x|. We prove that for a class of smooth initial data, the solutions develop blow-up in finite time. |
| Persistent Identifier | http://hdl.handle.net/10722/326770 |
| ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 1.612 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, Dong | - |
| dc.contributor.author | Rodrigo, Jose | - |
| dc.date.accessioned | 2023-03-31T05:26:23Z | - |
| dc.date.available | 2023-03-31T05:26:23Z | - |
| dc.date.issued | 2009 | - |
| dc.identifier.citation | Communications in Mathematical Physics, 2009, v. 287, n. 2, p. 687-703 | - |
| dc.identifier.issn | 0010-3616 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/326770 | - |
| dc.description.abstract | We consider an aggregation equation in ℝn, n ≥ 2 with fractional dissipation, namely, ut + ∇ · (u∇K *u) =-v(-Δ)γ/2 where 0 ≤ γ < 1 and K is a nonnegative decreasing radial kernel with a Lipschitz point at the origin, e.g. K(x) = e -|x|. We prove that for a class of smooth initial data, the solutions develop blow-up in finite time. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Communications in Mathematical Physics | - |
| dc.title | Finite-time singularities of an aggregation equation in ℝ<sup>n</sup> with fractional dissipation | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1007/s00220-008-0669-0 | - |
| dc.identifier.scopus | eid_2-s2.0-61649094952 | - |
| dc.identifier.volume | 287 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.spage | 687 | - |
| dc.identifier.epage | 703 | - |
| dc.identifier.eissn | 1432-0916 | - |
| dc.identifier.isi | WOS:000263787200012 | - |