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A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic Fisher KPP equation
http://hdl.handle.net/10228/0002001740
http://hdl.handle.net/10228/00020017409386d6c6-a4d1-421c-b455-fcb9cdf10b0b
| 名前 / ファイル | ライセンス | アクション |
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10452744.pdf (503.4 KB)
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| Item type | 共通アイテムタイプ(1) | |||||||||||||||||
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| 公開日 | 2025-07-03 | |||||||||||||||||
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| タイトル | A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic Fisher KPP equation | |||||||||||||||||
| 言語 | en | |||||||||||||||||
| 著者 |
Bertsch,Michiel
× Bertsch,Michiel
× Hilhorst, Danielle
× Izuhara, Hirofumi
× Mimura, Masayasu
× 若狭, 徹
WEKO
14905
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| 著作権関連情報 | ||||||||||||||||||
| 言語 | en | |||||||||||||||||
| 権利情報Resource | https://creativecommons.org/licenses/by/4.0/ | |||||||||||||||||
| 権利情報 | Open Access Under a Creative Commons | |||||||||||||||||
| 抄録 | ||||||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||||||
| 内容記述 | We consider a mathematical model describing population dynamics of normal and abnormal cell densities with contact inhibition of cell growth from a theoretical point of view. In the first part of this paper, we discuss the global existence of a solution satisfying the segregation property in one space dimension for general initial data. Here, the term segregation property means that the different types of cells keep spatially segregated when the initial densities are segregated. The second part is devoted to singular limit problems for solutions of the PDE system and traveling wave solutions, respectively. Actually, the contact inhibition model considered in this paper possesses quite similar properties to those of the Fisher-KPP equation. In particular, the limit problems reveal a relation between the contact inhibition model and the Fisher-KPP equation. | |||||||||||||||||
| 言語 | en | |||||||||||||||||
| 書誌情報 |
en : Discrete and Continuous Dynamical Systems 巻 40, 号 6, p. 3117-3142, 発行日 2020-03 |
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| 出版者 | American Institute of Mathematical Sciences | |||||||||||||||||
| 言語 | en | |||||||||||||||||
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| 言語 | eng | |||||||||||||||||
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| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||||||
| 資源タイプ | journal article | |||||||||||||||||
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| 出版タイプ | VoR | |||||||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||||||
| DOI | ||||||||||||||||||
| 識別子タイプ | DOI | |||||||||||||||||
| 関連識別子 | https://doi.org/10.3934/dcds.2019226 | |||||||||||||||||
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| 収録物識別子タイプ | PISSN | |||||||||||||||||
| 収録物識別子 | 1078-0947 | |||||||||||||||||
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| 収録物識別子タイプ | EISSN | |||||||||||||||||
| 収録物識別子 | 1553-5231 | |||||||||||||||||
| 研究者情報 | ||||||||||||||||||
| URL | https://hyokadb02.jimu.kyutech.ac.jp/html/100000360_ja.html | |||||||||||||||||
| 論文ID（連携） | ||||||||||||||||||
| 値 | 10452744 | |||||||||||||||||
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| 値 | 14602 | |||||||||||||||||
