A kinetic formulation for multi-branch entropy solutions of scalar conservation laws. (English) Zbl 0893.35068

Multivalued solutions with a limited number of branches of the inviscid Burgers equation can be obtained by solving closed systems of moment equations. For this purpose, a suitable concept of entropy multivalued solutions with \(K\) branches is introduced.


35L65 Hyperbolic conservation laws
35Q53 KdV equations (Korteweg-de Vries equations)
Full Text: DOI Numdam EuDML


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