Partition of Waves in a System of Conservation Laws |
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Authors: | Setti Ayad Arnaud Heibig |
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Affiliation: | (1) CMI, 39 rue F. Joliot Curie, Château Gombert, 13453 Marseille Cedex 13, France |
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Abstract: | The aim of this paper is to give a simple proof of the classical Liu estimate on the decay of positive waves in a solution of a n×n system of conservation laws. In the first part, we transcribe the wave partition technique introduced in Comm. Math. Phys.57 (1977), 135–148 (by means of the Glimm scheme) to the case of approximate solutions constructed by the wave front tracking scheme. Then, we use a decoupling argument on the characteristic speeds to establish the desired estimate. |
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Keywords: | conservation laws approximate characteristics front tracking scheme rarefaction waves |
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