Uniform decay rates for full von Karman system of dynamic thermoelasticity with 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 wellposedness 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 the plate. The key role in these results is played by: (i) new sharp regularity estimates for the boundary traces of elastic systems and (ii) newly established properties of analyt-icity of semigroups arising in thermoelastic systems with free boundary conditions.

Publication Title

Communications in Partial Differential Equations