Differential and Integral Equations

Global existence for hyperbolic-parabolic systems with large periodic initial data

Florence Hubert

Abstract

One considers hyperbolic--parabolic systems $u_t+(f(u))_x=(B(u)u_x)_x$ in one space dimension. For large periodic initial data and for a wide class of such systems, we establish the global existence of weak'' solutions. These results can be applied to general systems provided they admit a compact invariant domain. We develop the case of a particular $2\times 2$ system, the Keyfitz--Kranzer system.

Article information

Source
Differential Integral Equations, Volume 11, Number 1 (1998), 69-83.

Dates
First available in Project Euclid: 1 May 2013