Differential and Integral Equations

Weakly coupled systems of quasilinear hyperbolic equations

Bernard Hanouzet and Roberto Natalini

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Abstract

We obtain some general comparison results for entropy solutions of weakly coupled systems of conservation laws with source. For some particular couplings, by using these comparison methods, we show the global existence of the solutions to the Cauchy problem.

Article information

Source
Differential Integral Equations, Volume 9, Number 6 (1996), 1279-1292.

Dates
First available in Project Euclid: 6 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367846901

Mathematical Reviews number (MathSciNet)
MR1409928

Zentralblatt MATH identifier
0879.35093

Subjects
Primary: 35L60: Nonlinear first-order hyperbolic equations

Citation

Natalini, Roberto; Hanouzet, Bernard. Weakly coupled systems of quasilinear hyperbolic equations. Differential Integral Equations 9 (1996), no. 6, 1279--1292. https://projecteuclid.org/euclid.die/1367846901


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