Regularity results of Stokes Lamé interfa e problems

Description

Niveau: Supérieur, Doctorat, Bac+8
Regularity results of Stokes/Lamé interfa e problems D. Mer ier, S. Ni aise ? Abstra t This paper is devoted to some transmission problems involving the Lamé and Stokes systems in two-dimensional nonsmooth domains. We rst show that these problems may be obtained as a limit of a transmission Lamé problem when the Lamé oe ient ? goes to innity. We further investigate the behavior of the solutions of these problems near geometri al singularities, espe ially near orner points where the interfa e interse ts the boundaries. In parti ular we show stable de ompositions with respe t to the perturbation parameter ?. Some minimal regularity results are dedu ed from similar minimal regu- larity result of transmission Lamé problems obtained in [3?. Some numeri al results for the al ulation of the singular exponents in the asymptoti expansion are presented and onrmed these minimal regularity results. 1 Introdu tion We investigate two-dimensional transmission problems for the Lamé and Stokes systems of the following types: Two polygonal domains are onne ted via an interfa e line: on ea h subdomain we onsider either the Stokes system or the Lamé system. Boundary onditions on the exterior boundary pie es and (non standard) transmission onditions on the interfa e are imposed. It is well known that the solutions of these boundary-transmission problems have singular behaviour near orners, espe ially where the interfa e interse ts the boundaries.

• iennes


• transmission lamé


• boundary onditions


• pie ewise onstant


• mer ieruniv-valen


• onstant given


• dimensional transmission problems


• ?1 µ1?u1

Informations

• Publié par: profil-zyak-2012
• Nombre de lectures: 15
• Langue: English

Extrait

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