Differential and Integral Equations

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

Florence Hubert

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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

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

First available in Project Euclid: 1 May 2013

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35M10: Equations of mixed type
Secondary: 35K45: Initial value problems for second-order parabolic systems 35K55: Nonlinear parabolic equations 35L60: Nonlinear first-order hyperbolic equations


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

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