Global well-posedness and stability of constant equilibria in parabolic-elliptic chemotaxis systems without gradient sensing
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ahn, Jaewook | - |
dc.contributor.author | Yoon, Changwook | - |
dc.date.accessioned | 2021-09-01T17:09:08Z | - |
dc.date.available | 2021-09-01T17:09:08Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2019-04 | - |
dc.identifier.issn | 0951-7715 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/66569 | - |
dc.description.abstract | This paper deals with a Keller-Segel type parabolic-elliptic system involving nonlinear diffusion and chemotaxis u(t) = Delta(gamma(v)u), 0 = epsilon Delta v - v + u in a smoothly bounded domain Omega subset of R-n, n >= 1, under no-flux boundary conditions. The system contains a Fokker-Planck type diffusion with a motility function gamma(v) = v(-k), k > 0. The global existence of the unique bounded classical solutions is established without smallness of the initial data neither the convexity of the domain when n <= 2, k > 0 or n >= 3, k < 2/n-2. In addition, we find the conditions on parameters, k and epsilon, that make the spatially homogeneous equilibrium solution globally stable or linearly unstable. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | IOP PUBLISHING LTD | - |
dc.subject | STATIONARY SOLUTIONS | - |
dc.subject | EXISTENCE | - |
dc.subject | BOUNDEDNESS | - |
dc.subject | DIFFUSION | - |
dc.title | Global well-posedness and stability of constant equilibria in parabolic-elliptic chemotaxis systems without gradient sensing | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Yoon, Changwook | - |
dc.identifier.doi | 10.1088/1361-6544/aaf513 | - |
dc.identifier.scopusid | 2-s2.0-85065194661 | - |
dc.identifier.wosid | 000461064900005 | - |
dc.identifier.bibliographicCitation | NONLINEARITY, v.32, no.4, pp.1327 - 1351 | - |
dc.relation.isPartOf | NONLINEARITY | - |
dc.citation.title | NONLINEARITY | - |
dc.citation.volume | 32 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 1327 | - |
dc.citation.endPage | 1351 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.subject.keywordPlus | STATIONARY SOLUTIONS | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | BOUNDEDNESS | - |
dc.subject.keywordPlus | DIFFUSION | - |
dc.subject.keywordAuthor | chemotaxis | - |
dc.subject.keywordAuthor | motility function | - |
dc.subject.keywordAuthor | global existence | - |
dc.subject.keywordAuthor | Lyapunov functional | - |
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