On the study of behavior of blowup solutions to a chemotaxis system in high dimensional domains

2008 Fiscal Year Self-evaluation Report

• Project/Area Number: 18540189
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Kyushu Institute of Technology (2007-2009); University of Miyazaki (2006)
• Principal Investigator: SENBA Takasi Kyushu Institute of Technology, 大学院・工学研究院, 教授 (30196985)
• Project Period (FY): 2006 – 2009
• Keywords: 関数方程式 / 走化性方程式 / 爆発解 / Type I爆発 / Type II爆発

Research Abstract

単純化された走化性方程式系の爆発解の挙動に関する研究を行う。そして、その結果と2次元領域における単純化された走化性方程式や関連する他の方程式群の爆発解の挙動との共通点や相違点を明らかにする。

Research Products

• [Journal Article] Type II blowup of solutions to a simplified Keller-Segel system in two dimensional domains (2007)
  • Author(s): Senba Takasi
  • Journal Title: Nonlinear Analysis Series A : Theory, Methods & Applications 11 Pages: 1817-1839
  • Peer Reviewed
• [Journal Article] A fast blowup solution to an ellitptic-parabolic system related to chemotaxis (2006)
  • Author(s): Senba Takasi
  • Journal Title: Advances in Differential Equaitions 11 Pages: 981-1030
  • Peer Reviewed
• [Journal Article] Type II blowup of solutions to a simplified chemotaxis system
  • Author(s): Mizoguchi Noriko, Senba Takasi
  • Journal Title: Advances in Mathematics Sciences and Applications 17 Pages: 505-545
  • Peer Reviewed
• [Presentation] 走化性方程式の自己相似解の性質について (2007)
  • Author(s): 仙葉 隆、内藤 雄基
  • Organizer: 日本数学会 九州支部会年会
  • Place of Presentation: 宮崎大学 教育文化学部
  • Year and Date: 2007-10-13
• [Presentation] Multiple continuation of solutions after blow up for semilinear heat Equations (2007)
  • Author(s): 仙葉 隆、内藤 雄基
  • Organizer: 日本数学会2007年度年会
  • Place of Presentation: 東北大学 川内キャンパス
  • Year and Date: 2007-09-24