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Systems of conservation laws with invariant submanifolds. (English) Zbl 0559.35046
The author considers a quasilinear first order partial differential system of conservation laws in one space dimension: t U+ x F(U)=0 where U and F are R N vectors; UU(x,t). The aim of the paper is to characterize necessary and sufficient conditions on the geometry of a wave curve in order that a shock wave curve coincides with its associate rarefaction wave curve. Particular emphasis is devoted to the case when UR 2 .
Reviewer: T.Ruggeri

MSC:
35L65Conservation laws
35L67Shocks and singularities
76S05Flows in porous media; filtration; seepage
76T99Two-phase and multiphase flows
35L80Hyperbolic equations of degenerate type