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
收藏
页码：1726 / 1739
页数：14
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