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

DOI10.1137/080715305zbMath1178.35252OpenAlexW2080786772WikidataQ124801861 ScholiaQ124801861MaRDI QIDQ5191313

Stephen Schecter, Peter Szmolyan

Publication date: 29 July 2009

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/bd76481fbd3bbabdcf6b9607c19a0ae4c560b8f3

zbMATH Keywords

self-similar solutionsRiemann problemgeometric singular perturbation theoryloss of normal hyperbolicity

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Singular perturbations for ordinary differential equations (34E15) Blow-up in context of PDEs (35B44)

Related Items (4)

Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations ⋮ Discrete geometric singular perturbation theory ⋮ Dafermos regularization and viscous wave Fan profiles for Riemann solutions of Burger's equation ⋮ Geometric singular perturbation theory with real noise

This page was built for publication: Persistence of Rarefactions under Dafermos Regularization: Blow-Up and an Exchange Lemma for Gain-of-Stability Turning Points