Uniform decay rates for full von Karman system of dynamic thermoelasticitywith free boundary conditions and partial boundary dissipation

The full von Karman system accounting for in plane acceleration and thermal effects is considered. The main results of the paper are: (i) the wellpose dness of regular and weak (finite energy) solutions, (ii) the uniform decay rates obtained for the energy function in the presence of boundary damping affecting only the velocity field representing in plane displacements of t he plate. The key role in these results is played by: (i) new sharp regular ity estimates for the boundary traces of elastic systems and (ii) newly est ablished properties of analyticity of semigroups arising in thermoelastic s ystems with free boundary conditions.