A note on analyticity to piezoelectric systems | Zendy

Fernández Sare Hugo D. | Zendy; Miara B. | Zendy; Santos M.L. | Zendy

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A note on analyticity to piezoelectric systems

Author(s) -

Fernández Sare Hugo D.,

Miara B.,

Santos M.L.

Publication year - 2012

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2559

Subject(s) - semigroup , dissipative system , mathematics , dissipation , cauchy problem , cauchy stress tensor , initial value problem , term (time) , tensor (intrinsic definition) , exponential function , piezoelectricity , energy (signal processing) , mathematical analysis , pure mathematics , physics , statistics , quantum mechanics , acoustics , thermodynamics

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. Copyright © 2012 John Wiley & Sons, Ltd.

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