A note on analyticity to piezoelectric systems

作者：Fernandez Sare Hugo D; Miara B; Santos M L^*

来源：Mathematical Methods in the Applied Sciences, 2012, 35(18): 2157-2165.

DOI：10.1002/mma.2559

• piezoelectric materials
• stress dissipation
• analytic semigroup

In this paper, we consider a piezoelectric dissipative system in which a dissipation term is given through the mechanical part of the stress tensor. The abstract Cauchy problem associated to this system generates a semigroup of linear operators. We establish the analyticity of this semigroup that, in turn, implies the exponential decay of the corresponding energy and the strong regularity of the solutions.

• 出版日期2012-12