Persistence of Rarefactions under Dafermos Regularization: Blow-Up and an Exchange Lemma for Gain-of-Stability Turning Points

نویسندگان

  • Stephen Schecter
  • Peter Szmolyan
چکیده

We construct self-similar solutions of the Dafermos regularization of a system of conservation laws near structurally stable Riemann solutions composed of Lax shocks and rarefactions, with all waves possibly large. The construction requires blowing up a manifold of gain-of-stability turning points in a geometric singular perturbation problem as well as a new exchange lemma to deal with the remaining hyperbolic directions.

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عنوان ژورنال:
  • SIAM J. Applied Dynamical Systems

دوره 8  شماره 

صفحات  -

تاریخ انتشار 2009