On a two-sidedly degenerate chemotaxis model with volume-filling effect

• Author(s): Bendahmane, Mostafa ; Karlsen, Kenneth H. ; Urbano, José Miguel
• Date: 2006
• Persistent ID: http://hdl.handle.net/10316/11371
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Chemotaxis; Reaction-diffusion; Degenerate PDE; Intrinsic scaling
• Document Type: Preprint
• Language: English

Description

We consider a fully parabolic model for chemotaxis with volume-filling effect and a nonlinear diffusion that degenerates in a two-sided fashion. We address the questions of existence of weak solutions and of their regularity by using, respectively, a regularization method and the technique of intrinsic scaling. Outstanding Young Investigators Award from the Research Council of Norway; (J. M. Urbano) CMUC/FCT, Project POCI/MAT/57546/2004