DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Kyudong | ko |
dc.contributor.author | Kang, Moon-Jin | ko |
dc.contributor.author | Kwon, Young-Sam | ko |
dc.contributor.author | Vasseur, Alexis F. | ko |
dc.date.accessioned | 2022-02-22T06:44:37Z | - |
dc.date.available | 2022-02-22T06:44:37Z | - |
dc.date.created | 2022-02-22 | - |
dc.date.created | 2022-02-22 | - |
dc.date.issued | 2020-02 | - |
dc.identifier.citation | MATHEMATICAL MODELS METHODS IN APPLIED SCIENCES, v.30, no.2, pp.387 - 437 | - |
dc.identifier.issn | 0218-2025 | - |
dc.identifier.uri | http://hdl.handle.net/10203/292360 | - |
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.language | English | - |
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.identifier.wosid | 000518700700005 | - |
dc.identifier.scopusid | 2-s2.0-85078807772 | - |
dc.type.rims | ART | - |
dc.citation.volume | 30 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 387 | - |
dc.citation.endingpage | 437 | - |
dc.citation.publicationname | MATHEMATICAL MODELS METHODS IN APPLIED SCIENCES | - |
dc.identifier.doi | 10.1142/S0218202520500104 | - |
dc.contributor.localauthor | Kang, Moon-Jin | - |
dc.contributor.nonIdAuthor | Choi, Kyudong | - |
dc.contributor.nonIdAuthor | Kwon, Young-Sam | - |
dc.contributor.nonIdAuthor | Vasseur, Alexis F. | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Tumor angiogenesisKeller-Segelstabilitycontractiontraveling waveviscous shockrelative entropy methodconservations laws | - |
dc.subject.keywordPlus | RELATIVE ENTROPY METHODMATHEMATICAL-MODELENDOTHELIAL-CELLSCONSERVATION-LAWSINVISCID LIMITTUMOR-GROWTHSHOCK-WAVESSTABILITYANGIOGENESISNEOVASCULARIZATION | - |
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