Polynomial decay and control of a 1D hyperbolic-parabolic coupled system
The paper considers a coupled (via interaction through the joint boundary) 1D system of the heat and wave equation. In the first part of the paper the spectral analysis of the system is given and on its basis sharp polynomial decay rates for the whole energy are obtained. In the second part the null-controllability of the system when the control acts on the boundary of the domain where the heat equation holds is analyzed.
scientific article; zbMATH DE number 2117820
scientific article