On some dynamic thermal non clamped contact problems

• 成果类型: Article
• 署名作者: Adly, Samir; Chau, Oanh
• 署名单位: Universite de Limoges; University of La Reunion
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-013-0657-9
• 发表日期: 2013
• 页码: 5-26
• 关键词: variational-inequalities

摘要

We study a class of dynamic thermal sub-differential contact problems with friction, for long memory visco-elastic materials, without the clamped condition, which can be put into a general model of system defined by a second order evolution inequality, coupled with a first order evolution equation. We present and establish an existence and uniqueness result, by using general results on first order evolution inequality, with monotone operators and fixed point methods. Finally a fully discrete scheme for numerical approximations is provided, and corresponding various numerical computations in dimension two will be given.