Local well-posedness and blow-up criteria of solutions for a rod equation

被引：44

作者：

Zhou, Y ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2005年 / 278卷 / 14期

关键词：

well-posedness; blow-up;

D O I：

10.1002/mana.200310337

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

this paper we consider a new rod equation derived recently by Dai [Acta Mech. 127 No. 1-4, 193-207 (1998)] for a compressible hyperelastic material. We establish local well-posedness for regular initial data and explore various sufficient conditions of the initial data which guarantee the blow-up in finite time both for periodic and non-periodic case. Moreover, the blow-up time and blow-up rate are given explicitly. Some interesting examples are given also. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：1726 / 1739

页数：14

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