Asymptotic analysis of stratified elastic media in the space of functions with bounded deformation

作者：Bellieud Michel^*; Cooper Shane^*

来源：Comptes Rendus Mathematique, 2016, 354(4): 437-442.

DOI：10.1016/j.crma.2016.01.004

We analyse the asymptotic behaviour of solutions to problems of the type (1) in the case where the Lame coefficients only depend on the variable x(1), are bounded in L-1(0, L), and 1/mu(epsilon) bounded in L-1(0, L). We determine the limit problem under the assumptions (2). Our method applies as well to the heat equation, extending to the general anisotropic setting the results of G. Bouchitte and C. Picard (Appl. Anal. 61 (1996) 307-341).

• 出版日期2016-4