Blow-up results to certain hyperbolic model problems in fluid mechanics

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• 作者：Alexander Schö ; we ^{alexander.schoewe@uni-konstanz.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Hyperbolic fluid models ; Global solution for large data ; Blow-up
• 刊名：Nonlinear Analysis
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：144
• 期：Complete
• 页码：32-40
• 全文大小：574 K

文摘

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.