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

Brenier, Y.; Corrias, L.

Ann. Inst. Henri Poincaré, Anal. Non Linéaire 15, No. 2, 169-190 (1998).

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.

Reviewer: P.Y.Yalamov (Russe)

MSC:

35L65	Hyperbolic conservation laws
35Q53	KdV equations (Korteweg-de Vries equations)

Keywords:

entropy multivalued solutions; inviscid Burgers equation; moment equations

References:

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