Global Well-Posedness of Incompressible Elastodynamics in Two Dimensions

被引：61
|
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.
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页码：2072 / 2106
页数：35
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