ASYMPTOTIC CONVERGENCE OF SOLUTIONS FOR ONE-DIMENSIONAL KELLER-SEGEL EQUATIONS
Digital data available（大阪大学学術情報庫 桜華）
Begin reading now
学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
Search by Bookstore
Holdings of Libraries in Japan
This page shows libraries in Japan other than the National Diet Library that hold the material.
Please contact your local library for information on how to use materials or whether it is possible to request materials from the holding libraries.
Search by Bookstore
Bibliographic Record
You can check the details of this material, its authority (keywords that refer to materials on the same subject, author's name, etc.), etc.
- Material Type
- 文書・図像類
- Author/Editor
- Iwasaki, SatoruOsaki, KoichiYagi, Atsushi
- Author Heading
- Text Language Code
- eng
- Subject Heading
- Target Audience
- 一般
- Note (General)
- The second and third authors of this paper have constructed in [14] finite-dimensional attractors for the one-dimensional Keller-Segel equations. They have also remarked in [14, Section 7] that, when the sensitivity function is a linear function, the equations admit a global Lyapunov function. But at that moment they could not show the asymptotic convergence of solutions. This paper is then devoted to supplementing the results of [14, Section 7] by showing that, as t → ∞, every solution necessarily converges to a stationary solution by using the Lojasiewicz-Simon gradient inequality of the Lyapunov function.
- Format (IMT)
- application/pdf
- Source
- yagi_202012_01.pdf （fulltext）