On 2D Viscoelasticity with Small Strain

被引：0
|
作者：
Zhen Lei
机构：
[1] Fudan University,Shanghai Key Laboratory for Contemporary Applied Mathematics, Key Laboratory of Nonlinear Mathematical Models and Methods of Ministry of Education, School of Mathematical Sciences
来源：
Archive for Rational Mechanics and Analysis | 2010年 / 198卷
关键词：
Classical Solution; Global Existence; Deformation Tensor; Strain Model; Incompressible Limit;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An exact two-dimensional rotation–strain model describing the motion of Hookean incompressible viscoelastic materials is constructed by the polar decomposition of the deformation tensor. The global existence of classical solutions is proved under smallness assumptions only on the size of the initial strain tensor. The proof of global existence utilizes the weak dissipative mechanism of motion, which is revealed by passing the partial dissipation to the whole system.
引用
收藏
页码：13 / 37
页数：24
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