Optimal Korn’s inequality for solenoidal vector fields on a periodic slab

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Yoshiaki Teramoto¹  Kyoko Tomoeda² 

[1]Institute for Fundamental Sciences, Faculty of Science and Engineering, Setsunan University

[2]Research Institute for Mathematical Sciences, Kyoto University

关键词: Korn inequality;    best constant.;   

DOI  :  10.3792/pjaa.88.168

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We obtain the best constant in Korn’s inequality for solenoidal vector fields on a periodic slab which vanish on a part of its boundary. To do this we consider the Stokes equations with Dirichlet boundary conditions, following H. Ito [6],[7].

【 授权许可】

Unknown