Title :
On a coupled fourth order thermoelastic system with nonlocal constraints
Author :
Mesloub, Said ; Al-hammali, Azhar
Author_Institution :
Coll. of Sci. Dept. of Math., King Saud Univ., Riyadh, Saudi Arabia
Abstract :
In this paper, we establish the existence and uniqueness of the strong generalized solution of an initial boundary value problem for a coupled fourth order thermoelastic system with nonlocal constraints, which arise mainly in linear thermoelasticity. The system modelizes a Kirchof plate. Some energy and a priori estimates and density arguments are used in our proofs.
Keywords :
initial value problems; plates (structures); thermoelasticity; Kirchof plate; coupled fourth order thermoelastic system; initial boundary value problem; linear thermoelasticity; nonlocal constraint; Boundary value problems; Damping; Equations; Integral equations; Mathematical model; Multidimensional systems; Thermoelasticity; Energy Inequality; Existenc and Uniqueness; Thermoelastic System; nonlocal constraint;
Conference_Titel :
Modeling, Simulation and Applied Optimization (ICMSAO), 2011 4th International Conference on
Conference_Location :
Kuala Lumpur
Print_ISBN :
978-1-4577-0003-3
DOI :
10.1109/ICMSAO.2011.5775514