Abstract

TAO, MING; CHENG, ZHIXIN  and  YAN, JIN. Conservation laws II: weak solutions. Rev.colomb.mat. [online]. 2007, vol.41, n.1, pp.91-106. ISSN 0034-7426.

In this paper, we apply the maximum principle and the compensated compactness method to get the existence of weak solutions to the Cauchy problems for the nonlinear hyperbolic conservation laws of quadratic flux and the LeRoux system with sources.

Keywords : Weak solution; maximum principle; entropy−entropy flux pair; compensated compactness; Dirac measure.

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