Year: 2019
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 241–251
Abstract
Two weak formulations for the Lamé system with the boundary conditions of third and fourth types are proposed. It is shown that the regularity of the solutions and properties of the boundary surface guarantee the equivalence of variational and standard formulations of the problem. Moreover, if the boundary of $Ω$ is a Lipschitz polyhedron or if $\mathcal{S}$ ($x$) = 0 on $∂Ω$, the decoupling results of [8] are derived from the weak formulations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.080818.121018
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 241–251
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Lamé system weak formulation decoupling.