Asymptotic Behavior of Multidimensional Scalar Relaxation Shocks

Simple item page
dc.creatorKwon, Bongsuk
dc.creatorZumbrun, Kevin
dc.date2008-09-24
dc.date.accessioned2026-07-07T10:04:54Z
dc.date.available2026-07-07T10:04:54Z
dc.descriptionWe establish pointwise bounds for the Green function and consequent linearized stability for multidimensional planar relaxation shocks of general relaxation systems whose equilibrium model is scalar, under the necessary assumption of spectral stability. Moreover, we obtain nonlinear $L^{2}$ asymptotic behavior/sharp decay rate of perturbed weak shocks of general simultaneously symmetrizable relaxation systems, under small $L^{1}\cap H^{[d/2]+3}$ perturbations with first moment in the normal direction to the front.
dc.description58 pages
dc.identifierhttps://arxiv.org/abs/0809.4084
dc.identifierhttp://arxiv.org/abs/0809.4084
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169853
dc.subjectAnalysis of PDEs
dc.subject35L99
dc.titleAsymptotic Behavior of Multidimensional Scalar Relaxation Shocks
dc.typetext

Files

Collections

arXiv