A Note on the Subcritical Two Dimensional Keller-Segel System

被引：0
作者：
Jose A. Carrillo
Li Chen
Jian-Guo Liu
Jinhuan Wang
机构：
[1] Universitat Autònoma de Barcelona,ICREA and Departament de Matemàtiques
[2] Tsinghua University,Department of Mathematical Sciences
[3] Duke University,Department of Physics and Department of Mathematics
[4] Liaoning University,Department of Mathematics
来源：
Acta Applicandae Mathematicae | 2012年 / 119卷
关键词：
Chemotaxis; Critical mass; Global existence; Maximal density function; 35K55; 35B33;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The existence of solution for the 2D-Keller-Segel system in the subcritical case, i.e. when the initial mass is less than 8π, is reproved. Instead of using the entropy in the free energy and free energy dissipation, which was used in the proofs (Blanchet et al. in SIAM J. Numer. Anal. 46:691–721, 2008; Electron. J. Differ. Equ. Conf. 44:32, 2006 (electronic)), the potential energy term is fully utilized by adapting Delort’s theory on 2D incompressible Euler equation (Delort in J. Am. Math. Soc. 4:553–386, 1991).
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页码：43 / 55
页数：12
相关论文
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