Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:439

Article

Viglialoro, G.¹ 

[1] Univ Cagliari, Dipartimento Matemat & Informat, Vle Merello 92, I-09123 Cagliari, Italy

关键词: Nonlinear parabolic systems;    Chemotaxis;    Logistic source;    Global existence;   

DOI  :  10.1016/j.jmaa.2016.02.069

来源: Elsevier

【 摘 要 】

In this paper we study this chemotaxis-system [GRAPHICS] defined in a convex smooth and bounded domain Omega of R-n, with n >= 1, and endowed with homogeneous Neumann boundary conditions, being x > 0 and g a sort of logistic function obeying growth technical restrictions. Specifically, once an appropriate definition of very weak solution is given, our main result deals with the global existence of such solutions for any nonnegative initial data (uo, vo) E C (f) x c.(0), and under zero -flux boundary condition on vo. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free