Abstract

HERNANDEZ R., JUAN CARLOS. Existence of Weak Entropy Solution for a Symmetric System of Keyfitz-Kranzer Type. Rev.colomb.mat. [online]. 2013, vol.47, n.1, pp.13-28. ISSN 0034-7426.

We consider the Cauchy problem for a 2\times2 symmetric system of Keyfitz-Kranzer type with bounded measurable initial data. The existence of a weak entropy solution to this system is proved by using classical viscosity, an estimate in L¹(R) related to one of the Riemann invariants and the div-curl lemma, but avoiding the use of Young measures.

Keywords : System of Keyfitz-Kranzer type; Existence; Weak entropy solution.

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