Global smooth solutions for a hyperbolic chemotaxis model on a network

Abstract
In this paper we study a semilinear hyperbolic-parabolic system modeling biological phenomena evolving on a network composed of oriented arcs. We prove the existence of global (in time) smooth solutions to this problem. The result is obtained by using energy estimates with suitable transmission conditions at nodes.
Anno
2015
Autori IAC
Tipo pubblicazione
Altri Autori
F.R. Guarguaglini, R. Natalini
Editore
Society for Industrial and Applied Mathematics.
Rivista
SIAM journal on mathematical analysis (Print)