Global solutions to a chemotaxis system with non-diffusive memory

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:410

Article

Sugiyama, Y.¹  Tsutsui, Y.²  Velazquez, J. J. L.³ 

[1] Kyushu Univ, Fac Math, Fukuoka 8190395, Japan

[2] Waseda Univ, Fac Sci & Engn, Dept Math, Tokyo, Japan

[3] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

关键词: Chemotaxis system;    Global solutions;   

DOI  :  10.1016/j.jmaa.2013.08.065

来源: Elsevier

【 摘 要 】

In this article, an existence theorem of global solutions with small initial data belonging to L-1 boolean AND L-p, (n < p <= infinity) for a chemotaxis system is given on the whole space R-n, n >= 3. In the case p = infinity, our global solution is integrable with respect to the space variable on some time interval, and then conserves the mass for a short time, at least. The system consists of a chemotaxis equation with a logarithmic term and an ordinary equation without diffusion term. (C) 2013 Published by Elsevier Inc.

【 授权许可】

Free