Blow-up results to certain hyperbolic model problems in fluid mechanics. (October 2016)

• Record Type: Journal Article
• Authors: Schöwe, Alexander
• Is Part Of: Nonlinear analysis. Volume 144(2016)
• Page Start: 32
• Page End: 40
• Publication Date: 2016-10
• Subjects: Hyperbolic fluid models -- Global solution for large data -- Blow-up; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.05.004
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Global existence theorems for large data to hyperbolic fluid models very often have restrictions on the size of the relaxation parameter depending on the size of the initial data, and therefore leave the general question of well-posedness for large data open. In this note we show blow-up results to some corresponding model problems that underline the complexity of this question and hence also show the strength of global existence theorems for small parameters.