File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.4171/RMI/602
- Scopus: eid_2-s2.0-77951131323
- Find via
Supplementary
-
Citations:
- Scopus: 0
- Appears in Collections:
Article: Exploding solutions for a nonlocal quadratic evolution problem
Title | Exploding solutions for a nonlocal quadratic evolution problem |
---|---|
Authors | |
Keywords | Chemotaxis Fractional diffusion Nonlinear parabolic equation |
Issue Date | 2010 |
Citation | Revista Matematica Iberoamericana, 2010, v. 26, n. 1, p. 295-332 How to Cite? |
Abstract | We consider a nonlinear parabolic equation with fractional diffusion which arises from modelling chemotaxis in bacteria. We prove the wellposedness, continuation criteria and smoothness of local solutions. In the repulsive case we prove global wellposedness in Sobolev spaces. Finally in the attractive case, we prove that for a class of smooth initial data the L∞x-norm of the corresponding solution blows up in finite time. This solves a problem left open by Biler and Woyczyński [8]. |
Persistent Identifier | http://hdl.handle.net/10722/326809 |
ISSN | 2023 Impact Factor: 1.3 2023 SCImago Journal Rankings: 1.458 |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, Dong | - |
dc.contributor.author | Rodrigo, José L. | - |
dc.contributor.author | Zhang, Xiaoyi | - |
dc.date.accessioned | 2023-03-31T05:26:41Z | - |
dc.date.available | 2023-03-31T05:26:41Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Revista Matematica Iberoamericana, 2010, v. 26, n. 1, p. 295-332 | - |
dc.identifier.issn | 0213-2230 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326809 | - |
dc.description.abstract | We consider a nonlinear parabolic equation with fractional diffusion which arises from modelling chemotaxis in bacteria. We prove the wellposedness, continuation criteria and smoothness of local solutions. In the repulsive case we prove global wellposedness in Sobolev spaces. Finally in the attractive case, we prove that for a class of smooth initial data the L∞x-norm of the corresponding solution blows up in finite time. This solves a problem left open by Biler and Woyczyński [8]. | - |
dc.language | eng | - |
dc.relation.ispartof | Revista Matematica Iberoamericana | - |
dc.subject | Chemotaxis | - |
dc.subject | Fractional diffusion | - |
dc.subject | Nonlinear parabolic equation | - |
dc.title | Exploding solutions for a nonlocal quadratic evolution problem | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.4171/RMI/602 | - |
dc.identifier.scopus | eid_2-s2.0-77951131323 | - |
dc.identifier.volume | 26 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 295 | - |
dc.identifier.epage | 332 | - |