Some inequalities and asymptotic behavior of a dynamic problem of linear elasticity
Hamid Benseridi, Mourad Dilmi · Georgian Mathematical Journal · 2013
We consider a problem associated to a linear elasticity system in the dynamic regime in the three-dimensional thin domain . We first discuss the existence of weak solutions of this problem. Then we study the asymptotic behavior when one dimension of the domain tends to zero. The uniqueness result for the limit problem is also proved.