TY - JOUR
T1 - The Decoupling of Elastic Waves from a Weak Formulation Perspective
JO - East Asian Journal on Applied Mathematics
VL - 2
SP -  241
EP - 251
PY - 2019
DA - 2019/03
SN - 9
DO - http://doi.org/10.4208/eajam.080818.121018 
UR - https://global-sci.org/intro/article_detail/eajam/13080.html
KW - Lamé system, weak formulation, decoupling.
AB - <p style="text-align: justify;">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.</p>