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

Ahlem Merah; Fatiha Mesloub; Salah Mahmoud Boulaaras; Bahri-Belkacem Cherif

doi:10.1155/2021/5555930

Advances in Mathematical Physics (Jan 2021)

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

Ahlem Merah,
Fatiha Mesloub,
Salah Mahmoud Boulaaras,
Bahri-Belkacem Cherif

Affiliations

Ahlem Merah: Laboratory of Mathematics, Informatics and Systems (LAMIS), Department of Mathematics and Computer Science, Larbi Tebessi University, 12002 Tebessa, Algeria
Fatiha Mesloub: Laboratory of Mathematics, Informatics and Systems (LAMIS), Department of Mathematics and Computer Science, Larbi Tebessi University, 12002 Tebessa, Algeria
Salah Mahmoud Boulaaras: Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Buraydah, Saudi Arabia
Bahri-Belkacem Cherif: Preparatory Institute for Engineering Studies in Sfax (I.P.E.I.S.Sfax), BP 1172 Sfax, Tunisia

DOI: https://doi.org/10.1155/2021/5555930
Journal volume & issue: Vol. 2021

Abstract

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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.

Published in Advances in Mathematical Physics

ISSN: 1687-9120 (Print); 1687-9139 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Physics
Website: https://onlinelibrary.wiley.com/journal/3197

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