On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis
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Kyushu University Institutional Repository (QIR)
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- Material Type
- 記事
- Publication Date
- 2012-12-01
- Publication Date (W3CDTF)
- 2012-12-01
- Periodical title
- MI Preprint Series
- No. or year of volume/issue
- 2009-30
- Volume
- 2009-30
- Publication date of volume/issue (W3CDTF)
- 2012-12-01
- Publication (Periodical Title)
- Academic Press
- Text Language Code
- en
- Alias of Author
- Target Audience
- 一般
- Access Restrictions
- インターネット公開
- Rights (production)
- (C) 2012 Elsevier Inc.
- Related Material (URI)
- Data Provider (Database)
- 国立情報学研究所 : CiNii Research
- Original Data Provider (Database)
- 学術機関リポジトリデータベースCiNii Articles
- NAID
- 120005039071
- Summary, etc.
- This paper deals with large time behavior of solutions to a Keller-Segel system which possesses self-similar solutions. By taking into account the invariant properties of the equation with respect to a scaling and translations, we show that suitably shifted self-similar solutions give more precise asymptotic profiles of general solutions at large time. The convergence rate is also computed in details.
- Access Restrictions
- インターネット公開
- Rights (production)
- (C) 2012 Elsevier Inc.
- Related Material
- Journal of Differential Equations || 256(11) || p2951-2992http://www.math.kyushu-u.ac.jp/http://www.sciencedirect.com/science/journal/00221236
- Related Material (DOI)
- 10.1016/j.jde.2012.08.028
- Data Provider (Database)
- 国立情報学研究所 : 学術機関リポジトリデータベース(IRDB)(機関リポジトリ)
- Original Data Provider (Database)
- 九州大学学術情報リポジトリ(QIR)