Approximate controllability of abstract nonsimple thermoelastic problem
Moncef Aouadi, Taoufik Moulahi · Evolution equations and control theory · 2015
In this paper, an abstract nonsimple thermoelastic problem involving higher order gradients of displacement is consideredwith Dirichlet boundary conditions. We prove that the linear operator of the proposed system generates a strongly continuous semigroupwhich decays exponentially to zero. The optimal decay rate isdetermined explicitly by the physical parameters of the problem.Then we show the approximate controllability of the consideredproblem.