分野別セミナー

We consider the decay property of the Timoshenko system
without frictional damping but with thermal effects. We
derive the decay estimate of the solutions in a general
situation and observe that this decay structure is of the
regularity-loss type. Our proof is based on the detailed
pointwise estimate of the solutions in the Fourier space,
and this pointwise estimate is derived by the energy method
in the Fourier space.