Topology of elementary waves for mixed-type systems of conservation laws

  • Dan Marchesin
  • C. Frederico B. Palmeira

DOI: 10.1007/BF02218857

Cite this article as:
Marchesin, D. & Palmeira, C.F.B. J Dyn Diff Equat (1994) 6: 427. doi:10.1007/BF02218857


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.

Key words

Elementary wavesWhitney topologyconservation lawsshock foliationfundamental wave manifold

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Dan Marchesin
    • 1
  • C. Frederico B. Palmeira
    • 2
  1. 1.Instituto de Matematica Pura e AplicadaRio de JaneiroBrazil
  2. 2.Department of MathematicsPontificia Universidade CatóliceRio de JaneiroBrazil