Topology of elementary waves for mixed-type systems of conservation laws
- Cite this article as:
- Marchesin, D. & Palmeira, C.F.B. J Dyn Diff Equat (1994) 6: 427. doi:10.1007/BF02218857
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We construct explicitly the fundamental wave manifold for systems of two conservation laws with quadratic flux functions. We describe the shock foliation for this manifold, as well as the singular set of the foliation. We subdivide the manifold into regions where the shock curves form trivial foliations. Sonic surfaces are identified as well. We establish the stability of shock curves underC3 perturbations of the flux functions in the Whitney topology.