HYPERBOLIC EQUATION WITH A RESISTANCE TERM IN A NONCYLINDRICAL DOMAIN
Gladson Octaviano Antunes, Patrícia Nunes da Silva, R Busse · International Journal of Pure and Apllied Mathematics · 2011
In this paper we investigate the existence and uniqueness of so- lution for the equation u 00 − �u = −r p in a noncylindrical domain b Q, with div u = 0 in b Q, under some initial and boundary conditions. This model, in a cylindrical domain, was originally proposed by J.L. Lions and it is related to the dynamics elasticity for incompressible materials.