Asymptotics of Neumann harmonics when a cavity is close to the exterior boundary of the domain
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- 作者：Giuseppe Cardone ; Sergey A. Nazarov ; Jan Sokolowski ; Jari Taskinen
- 关键词：Singularly perturbed Neumann problem ; Touching surfaces ; Dirichlet integral ; Thin ligament
<strong>Mots-clé ; s ; strong>Problè ; me singularement perturbé ; Surfaces en contact ; Integrale Dirichlet ; Ligament fin - 刊名：Comptes Rendus Mecanique
- 出版年：2007
- 出版时间：December 2007
- 年：2007
- 卷：335
- 期：12
- 页码：763-767
- 全文大小：145 K
文摘
We construct the asymptotics (as style=""text-decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6X1C-4R34F3J-1&_mathId=mml1&_user=10&_cdi=7239&_rdoc=6&_acct=C000050221&_version=1&_userid=10&md5=055128b2c249bcab9bb441fd3ce4aeba"" title=""Click to view the MathML source"">ε→0) of solutions to the Neumann problem for the Laplace equation and of the corresponding Dirichlet integral. The problem concerns a three-dimensional domain having two connected components of the boundary at the distance style=""text-decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6X1C-4R34F3J-1&_mathId=mml2&_user=10&_cdi=7239&_rdoc=6&_acct=C000050221&_version=1&_userid=10&md5=09953cde0448ee3016b83ea85498e282"" title=""Click to view the MathML source"">ε>0. <strong>To cite this article: G. Cardone et al., C. R. Mecanique 335 (2007).strong>