Blow-up of solutions for a quasilinear system with degenerate damping terms

Blow-up of solutions for a quasilinear system with degenerate damping terms

Abstract In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions. This is the general case of the recent results of Boulaaras’ works (Bull. Malays. Math. Sci. S...

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Main Authors: Salah Boulaaras, Abdelbaki Choucha, Praveen Agarwal, Mohamed Abdalla, Sahar Ahmed Idris
Format: Article
Language:English
Published: SpringerOpen 2021-10-01
Series:Advances in Difference Equations
Subjects:
Viscoelastic equation
Blow-up
Strong damping
Distributed delay
Online Access:https://doi.org/10.1186/s13662-021-03609-0
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spelling doaj-f77121ad701c4e60b816b793040bf58e2021-10-10T11:10:50ZengSpringerOpenAdvances in Difference Equations1687-18472021-10-012021111310.1186/s13662-021-03609-0Blow-up of solutions for a quasilinear system with degenerate damping termsSalah Boulaaras0Abdelbaki Choucha1Praveen Agarwal2Mohamed Abdalla3Sahar Ahmed Idris4Department of Mathematics, College of Sciences and Arts, ArRas, Qassim UniversityDepartment of Mathematics, Faculty of Exact Sciences, University of El OuedAnand International College of EngineeringDepartment of Mathematics, Faculty of Science, King Khalid UniversityCollege of Industrial Engineering, King Khalid UniversityAbstract In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions. This is the general case of the recent results of Boulaaras’ works (Bull. Malays. Math. Sci. Soc. 43:725–755, 2020) and (Appl. Anal. 99:1724–1748, 2020).https://doi.org/10.1186/s13662-021-03609-0Viscoelastic equationBlow-upStrong dampingDistributed delay
collection DOAJ
language English
format Article
sources DOAJ
author Salah Boulaaras
Abdelbaki Choucha
Praveen Agarwal
Mohamed Abdalla
Sahar Ahmed Idris
spellingShingle Salah Boulaaras
Abdelbaki Choucha
Praveen Agarwal
Mohamed Abdalla
Sahar Ahmed Idris
Blow-up of solutions for a quasilinear system with degenerate damping terms
Advances in Difference Equations
Viscoelastic equation
Blow-up
Strong damping
Distributed delay
author_facet Salah Boulaaras
Abdelbaki Choucha
Praveen Agarwal
Mohamed Abdalla
Sahar Ahmed Idris
author_sort Salah Boulaaras
title Blow-up of solutions for a quasilinear system with degenerate damping terms
title_short Blow-up of solutions for a quasilinear system with degenerate damping terms
title_full Blow-up of solutions for a quasilinear system with degenerate damping terms
title_fullStr Blow-up of solutions for a quasilinear system with degenerate damping terms
title_full_unstemmed Blow-up of solutions for a quasilinear system with degenerate damping terms
title_sort blow-up of solutions for a quasilinear system with degenerate damping terms
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2021-10-01
description Abstract In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions. This is the general case of the recent results of Boulaaras’ works (Bull. Malays. Math. Sci. Soc. 43:725–755, 2020) and (Appl. Anal. 99:1724–1748, 2020).
topic Viscoelastic equation
Blow-up
Strong damping
Distributed delay
url https://doi.org/10.1186/s13662-021-03609-0
work_keys_str_mv AT salahboulaaras blowupofsolutionsforaquasilinearsystemwithdegeneratedampingterms
AT abdelbakichoucha blowupofsolutionsforaquasilinearsystemwithdegeneratedampingterms
AT praveenagarwal blowupofsolutionsforaquasilinearsystemwithdegeneratedampingterms
AT mohamedabdalla blowupofsolutionsforaquasilinearsystemwithdegeneratedampingterms
AT saharahmedidris blowupofsolutionsforaquasilinearsystemwithdegeneratedampingterms
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