A note on analyticity to piezoelectric systems |
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| Authors: | Hugo D Fernández Sare B Miara ML Santos |
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| Institution: | 1. Instituto de Matemática, Universidade Federal do Rio de Janeiro, , Rio de Janeiro, Brazil;2. Département de Modélisation et Simulation Numérique école Supérieure d'Ingénieurs en électrotechnique et électronique, , 93160 Noisy‐le‐Grand, France;3. Faculdade de Matemática‐Programa de Pós‐Gradua??o em Matemática e Estatística Universidade Federal do Pará, Campus Universitario do Guamá, , Pará, Brazil |
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| Abstract: | 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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| Keywords: | piezoelectric materials stress dissipation analytic semigroup |
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