Analysis of the energy decay of a viscoelasticity type equation-Reference-Cited by-同舟云学术

Analysis of the energy decay of a viscoelasticity type equation

Published:2016-11-01 Issue:3 Volume:24 Page:21-45
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Atallah-Baraket Amel¹,Trabelsi Maryem¹

Affiliation:

1. Department of Mathematics, University of Tunis El Manar, Faculty of Sciences of Tunis, 1060, Tunis , Tunisia

Abstract

Abstract In this paper, we study the evolution of the energy density of a sequence of solutions of a problem related to a viscoelasticity model where the viscosity term is a pseudo-differential operator of order 2α with α ∈ (0, 1). We calculate the weak limit of the energy density in terms of microlocal defect measures and under special assumption we prove that the viscosity term prevents propagation of concentration and oscillation effects contrary to what happens in the wave equation.

Publisher

Walter de Gruyter GmbH

Reference25 articles.

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