A New Result for a Blow-up of Solutions to a Logarithmic Flexible Structure with Second Sound-Reference-Cited by-同舟云学术

A New Result for a Blow-up of Solutions to a Logarithmic Flexible Structure with Second Sound

Published:2021-02-10 Issue: Volume:2021 Page:1-7
ISSN:1687-9139
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Merah Ahlem¹,Mesloub Fatiha¹,Boulaaras Salah Mahmoud²³^ORCID,Cherif Bahri-Belkacem⁴^ORCID

Affiliation:

1. Laboratory of Mathematics, Informatics and Systems (LAMIS), Department of Mathematics and Computer Science, Larbi Tebessi University, 12002 Tebessa, Algeria

2. Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Buraydah, Saudi Arabia

3. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Oran, Algeria

4. Preparatory Institute for Engineering Studies in Sfax (I.P.E.I.S.Sfax), BP 1172 Sfax, Tunisia

Abstract

This paper is concerned with a problem of a logarithmic nonuniform flexible structure with time delay, where the heat flux is given by Cattaneo’s law. We show that the energy of any weak solution blows up infinite time if the initial energy is negative.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2021/5555930.pdf

Reference13 articles.

1. Asymptotic behavior of a flexible structure with Cattaneo type of thermal effect

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3. Exponential stabilization of longitudinal vibrations of an inhomogeneous beam;G. C. Gorain;Non-Linear Oscillation,2013

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5. Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d

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