Keller-Segel systems of degenerate type

简并型 Keller-Segel 系统

• 批准号: 18740080
• 负责人: SUGIYAMA Yoshie
• 金额: $ 2.43万
• 依托单位: Tsuda College
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2006
• 资助国家: 日本
• 起止时间: 2006 至 2008
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18740080/
• 关键词: 退化放物型; ケーラ; ジーゲル系; 解の爆発; 発解の漸近挙動; 有限伝播性; 界面方程式; ケーラ・ジーゲル系; 爆発解の漸近挙動; 解の漸近挙動; 時間大域解の存在

科研費採択課題に関する上記研究期間中である平成18年度〜平成20年度に,10編の論文の掲載決定が決定された.更に10編の論文が現在投稿中である.更に,以下の講演を行った.講演(国内発表) 研究集会:2006年度15回・2007年度13回・2008年度5回(11月30日現在)日本数学会:2006年9月〜2008年9月,計7講演(特別講演を含む)講演(国際会議)[1] 3rd Euro-Japanese workshop on blow up, 2008 9 11, Tohoku Univ.(招待講演)[2] Hayashibara forum, 2006 11 23, フランス高等数学研究所(IHES).[3] Parabolic and Navier-Stokes equations, 2006 9 11, Banach Center, Poland.[4] 2nd Euro-Japanese workshop on blow up, 2006 9 7, Madrid, Spain.[5] 第31回偏微分方程式論札幌シンポジウム, 2006 8 3, 北海道大学, 札幌.

The scientific research funds collection project was published in the research period of 2018-2020, and the 10th edition of the paper was published. The decision is made. The 10th edited paper is now being submitted. The following is a lecture. Lecture (domestic official list) Research meetings: 15 times in 2006, 13 times in 2007, 5 times in 2008 (as of November 30th) Japan Mathematical Society: September 2006 to September 2008, 7 lectures (special lectures included) lectures (international conference) [1] 3rd Euro-Japanese workshop on blow up, 2008 9 11, Tohoku Univ. (reception lecture)[2] Hayashibara forum, 2006 11 23, Institute of Advanced Mathematics (IHES).[3] Parabolic and Navier-Stokes equations, 2006 9 11, Banach Center, Poland.[4] 2nd Euro-Japanese workshop on blow up, 2006 9 7, Madrid, Spain.[5] The 31st Chapter on Partial Differential Equations Sapporo University, 2006 8 3, Hokkaido University, Sapporo.

项目成果

Aronson-B\'{e}nilan type estimate and the optimal H\"{o}lder continuity of weak solutions for the 1-$D$ degenerate Keller-Segel systems

1-$D$ 简并 Keller-Segel 系统的 Aronson-B{e}nilan 型估计和弱解的最优 H"{o}lder 连续性

• 期刊: RevistaMathematica Iberoamericana. to appear

Interfaces for 1-D degenerate

一维简并接口

• 发表时间: 2008

Partial regularity and blow-up asymptoticsof weak solutions to Keller-Segel systems

Keller-Segel 系统弱解的部分正则性和爆炸渐进性

• 发表时间: 2008

Blow-up solutions to Keller-Segel systems for the initial data in the scale invariant norm

尺度不变范数中初始数据的 Keller-Segel 系统的爆炸解

• 发表时间: 2007

Global existence of weak solutions and decay properties for some degenerate quasilinear parabolic systems modeling chemotaxis

一些模拟趋化性的简并拟线性抛物线系统的弱解和衰减特性的全局存在

• 发表时间: 2004