Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Kyudong | - |
dc.contributor.author | Kang, Moon-Jin | - |
dc.contributor.author | Kwon, Young-Sam | - |
dc.contributor.author | Vasseur, Alexis F. | - |
dc.date.available | 2021-02-22T05:35:42Z | - |
dc.date.issued | 2020-02 | - |
dc.identifier.issn | 0218-2025 | - |
dc.identifier.issn | 1793-6314 | - |
dc.identifier.uri | https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/2528 | - |
dc.description.abstract | We consider a hyperbolic-parabolic system arising from a chemotaxis model in tumor angiogenesis, which is described by a Keller-Segel equation with singular sensitivity. It is known to allow viscous shocks (so-called traveling waves). We introduce a relative entropy of the system, which can capture how close a solution at a given time is to a given shock wave in almost L-2-sense. When the shock strength is small enough, we show the functional is non-increasing in time for any large initial perturbation. The contraction property holds independently of the strength of the diffusion. | - |
dc.format.extent | 51 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.title | Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model | - |
dc.type | Article | - |
dc.publisher.location | 싱가폴 | - |
dc.identifier.doi | 10.1142/S0218202520500104 | - |
dc.identifier.scopusid | 2-s2.0-85078807772 | - |
dc.identifier.wosid | 000518700700005 | - |
dc.identifier.bibliographicCitation | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, v.30, no.2, pp 387 - 437 | - |
dc.citation.title | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | - |
dc.citation.volume | 30 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 387 | - |
dc.citation.endPage | 437 | - |
dc.type.docType | Article | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | RELATIVE ENTROPY METHOD | - |
dc.subject.keywordPlus | MATHEMATICAL-MODEL | - |
dc.subject.keywordPlus | ENDOTHELIAL-CELLS | - |
dc.subject.keywordPlus | CONSERVATION-LAWS | - |
dc.subject.keywordPlus | INVISCID LIMIT | - |
dc.subject.keywordPlus | TUMOR-GROWTH | - |
dc.subject.keywordPlus | SHOCK-WAVES | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | ANGIOGENESIS | - |
dc.subject.keywordPlus | NEOVASCULARIZATION | - |
dc.subject.keywordAuthor | Tumor angiogenesis | - |
dc.subject.keywordAuthor | Keller-Segel | - |
dc.subject.keywordAuthor | stability | - |
dc.subject.keywordAuthor | contraction | - |
dc.subject.keywordAuthor | traveling wave | - |
dc.subject.keywordAuthor | viscous shock | - |
dc.subject.keywordAuthor | relative entropy method | - |
dc.subject.keywordAuthor | conservations laws | - |
dc.identifier.url | https://www.worldscientific.com/doi/abs/10.1142/S0218202520500104 | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Sookmyung Women's University. Cheongpa-ro 47-gil 100 (Cheongpa-dong 2ga), Yongsan-gu, Seoul, 04310, Korea02-710-9127
Copyright©Sookmyung Women's University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.