Stability of geometric blowup
type: Item
instance of: scholarly article
title: Stability of geometric blowup
zbMATH Open document ID: 0962.35119
author: S. Alinhac
published in: Archive for Rational Mechanics and Analysis
publication date: 2001-06-05T00:00:00Z
review text: The author continues in this paper his program of studying models of singularity formation for quasilinear first-order hyperbolic systems. Solutions are obtained in domains of the form \(\{t<T\}\), and blow up at exactly one point on \(\{t=T\}\). The main assumption is that blow-up occurs along one simple, genuinely nonlinear, characteristic direction. This is a continuation of the author's earlier work, in which analyticity assumptions are removed in the spirit of his paper [Commun. Partial Differ. Equations 21, No. 5-6, 923-969 (1996; Zbl 0858.35082)]. As in these works, the blow-up surface remains out of reach because of the lack of good hyperbolicity properties of the ``blow-up system''.
reviewed by: Satyanad Kichenassamy
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35B20
zbMATH DE Number: 1419577
zbMATH Keywords: singularity formation
zbMATH Keywords: quasilinear first-order hyperbolic systems
zbMATH Keywords: unfolded system
MaRDI profile type: Publication
full work available at URL: s002050050182
OpenAlex ID: W2058544485
DOI: 10.1007/S002050050182
description: scientific article; zbMATH DE number 1419577