| Abstract: |
| In this paper, we consider the MGT viscoelastic plate model in $\mathbb{R}^{N}$ with heat conduction of Fourier law. First, we give the appropriate functional setting needed for the well-posedness. Second, using the energy method in the Fourier space, we obtain the decay rate of a norm related to the solutions in both cases sub-critical and critical cases. In particular, we prove that the decay rate does not exhibit the well-known regularity loss phenomenon present in some models existing in the literature. |
|