Analysis of the energy decay of a viscoelasticity type equation

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Trabelsi Maryem¹  Atallah-Baraket Amel¹ 

[1] Department of Mathematics, University of Tunis El Manar, Faculty of Sciences of Tunis, 1060, Tunis, Tunisia;

关键词: viscoelasticity equation;    microlocal defect measures;    energy density.;    primary 46g05;    46l05;    secondary 47a30;    47b47;   

DOI  :  10.1515/auom-2016-0046

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown