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A Singular Perturbation Problem for Heteroclinic Solutions to the FitzHugh-Nagumo Type Reaction-Diffusion System with Heterogeneity
http://hdl.handle.net/2261/00079430
http://hdl.handle.net/2261/000794302942b7d3-08d7-445b-bdf7-f417f5ab68aa
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms260201.pdf (356.9 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2020-07-27 | |||||
| タイトル | ||||||
| タイトル | A Singular Perturbation Problem for Heteroclinic Solutions to the FitzHugh-Nagumo Type Reaction-Diffusion System with Heterogeneity | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Variational problem | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | FitzHugh-Nagumo type reaction diffusion systems | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Heteroclinic solution | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Singular perturbation problem | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Kajiwara, Takashi
× Kajiwara, Takashi× Kurata, Kazuhiro |
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| 著者所属 | ||||||
| 著者所属 | Department of Mathematics and Information Sciences, Tokyo Metropolitan University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In a previous paper, the first author considered the variational problems for heteroclinic solutions to the FitzHugh-Nagumo type reaction-diffusion system involving heterogeneity $\mu(x)$ and proved the existence of the minimizers. However, the precise location of the transition layer of the minimizers was not clear in the paper. In this paper, we consider the same problems as the singular perturbation problems. Then we prove that the minimizer has exactly one transition layer near the minimum point of $\mu(x)$ by using the first order energy expansion. Moreover, we derive the more precise energy asymptotic expansion. |
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| 書誌情報 |
Journal of Mathematical Sciences The University of Tokyo 巻 26, 号 2, p. 141-199, 発行日 2019-07-26 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| Mathmatical Subject Classification | ||||||
| 35J50(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 35K57(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 35B40(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2018-02-20 | ||||||
