Global Well-Posedness of Incompressible Elastodynamics in Two Dimensions

被引：70

作者：

Lei, Zhen ^{[1
,2
,3
]}

机构：

[1] Fudan Univ, Sch Math Sci, LMNS, Shanghai 200433, Peoples R China

[2] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

[3] Princeton Univ, Inst Adv Study, Princeton, NJ 08540 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2016年 / 69卷 / 11期

关键词：

NONLINEAR-WAVE EQUATIONS; VISCOELASTIC FLUID SYSTEM; CLASSICAL-SOLUTIONS; NULL CONDITION; EXISTENCE; SINGULARITIES; BLOWUP; DECAY; MODEL;

D O I：

10.1002/cpa.21633

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that for sufficiently small initial displacements in some weighted Sobolev space, the Cauchy problem of the systems of incompressible isotropic Hookean elastodynamics in two space dimensions admits a uniqueness global classical solution. (c) 2016 Wiley Periodicals, Inc.

引用

页码：2072 / 2106

页数：35

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