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Asymptotics of Neumann harmonics when a cavity is close to the exterior boundary of the domain |
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| Authors: | Giuseppe Cardone Sergey A. Nazarov Jan Sokolowski Jari Taskinen |
| Affiliation: | aUniversità del Sannio, Dipartimento di Ingegneria, Piazza Roma, 21, 84100 Benevento, Italy;bInstitute of Mechanical Engineering Problems, V.O., Bolshoi pr. 61, 199178 St. Petersburg, Russia;cUniversité Henri-Poincaré, Nancy 1, département de mathematiques, B.P. 239, 54506 Vandoeuvre les Nancy cedex, France;dUniversity of Helsinki, Department of Mathematics and Statistics, P.O. Box 68, 00014 Helsinki, Finland |
| Abstract: | We construct the asymptotics (as 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 ε>0. To cite this article: G. Cardone et al., C. R. Mecanique 335 (2007). |
| Keywords: | Singularly perturbed Neumann problem Touching surfaces Dirichlet integral Thin ligamentMots-clé s: Problè me singularement perturbé Surfaces en contact Integrale Dirichlet Ligament fin |
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