On nonlinear elastic waves in 2-D

被引：6
|
作者：
Zha, Dongbing [1 ,2 ]
机构：
[1] Donghua Univ, Dept Math, Shanghai 201620, Peoples R China
[2] Donghua Univ, Inst Nonlinear Sci, Shanghai 201620, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Nonlinear elastic waves; 2-D; Null conditions; Global existence; LONG-TIME EXISTENCE; GLOBAL EXISTENCE; CLASSICAL-SOLUTIONS; LIFE-SPAN; EQUATIONS EXTERIOR; NULL CONDITION; DIMENSIONS; AMPLITUDE; SYSTEMS;
D O I：
10.1016/j.jde.2019.08.044
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For the Cauchy problem of 2-D nonlinear elastic waves of isotropic, homogeneous and hyperelastic materials satisfying null conditions, assuming the smallness of H-3 (R-2) x H-2(R-2) norm and the boundedness of H-4(R-2) H-3 (R-2) norm for radially symmetric initial data, we show the global existence of classical solutions. Similar results for exterior domain problems are also proved. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：1250 / 1269
页数：20
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