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Persistence of Rarefactions under Dafermos Regularization: Blow-Up and an Exchange Lemma for Gain-of-Stability Turning Points.
- Source :
- SIAM Journal on Applied Dynamical Systems; 2009, Vol. 8 Issue 3, p822-853, 32p, 13 Diagrams
- Publication Year :
- 2009
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15360040
- Volume :
- 8
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Applied Dynamical Systems
- Publication Type :
- Academic Journal
- Accession number :
- 48722046
- Full Text :
- https://doi.org/10.1137/080715305