Linear decay property for the hyperbolic-parabolic coupled systems of thermoviscoelasticity.

We consider the initial value problem of a linearized hyperbolic-parabolic coupled systems of thermoviscoelasticity around the constant state with arbitrary spatial dimensions (n ≥ 1) and study the decay property of the systems. In the first place, we construct the fundamental solutions in Fourier space. Then we prove the decay property for the linearized systems provided that the initial data are in L 2 ∩ L 1 . [ABSTRACT FROM AUTHOR]