## 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

Permanent link to this document
https://projecteuclid.org/euclid.die/1367414135

Mathematical Reviews number (MathSciNet)
MR1607988

Zentralblatt MATH identifier
1004.35057

#### Citation

Hubert, Florence. Global existence for hyperbolic-parabolic systems with large periodic initial data. Differential Integral Equations 11 (1998), no. 1, 69--83. https://projecteuclid.org/euclid.die/1367414135