Theoretical and Applied Mechanics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Theor. Appl. Mech.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Theoretical and Applied Mechanics, 2020, Volume 47, Issue 1, Pages 123–154
DOI: https://doi.org/10.2298/TAM200428008P (Mi tam80) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Local existence and blow-up of solutions for coupled viscoelastic wave equations with degenerate damping terms

Erhan Pişkina, Fatma Ekincia, Khaled Zennirb

a Department of Mathematics, Dicle University, Turkey
b Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia
Full-text PDF (705 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.2298/TAM200428008P
Abstract: In this paper, we investigate a nonlinear system of viscoelastic equations with degenerate damping and source terms in a bounded domain. Under appropriate assumptions on the parameters, degenerate damping terms and the relaxation functions $\varpi_i$, $(i=1,2)$, we prove local existence and uniqueness of the solution by using the Faedo–Galerkin method with a new scenario. Then, we prove the blow-up of weak solutions to problem (1.1). This improves earlier results in the literature [6,23,25].
Keywords: local existence, blow-up, viscoelastic wave equations, degenerate damping.
Received: 28.04.2020
Revised: 28.05.2020
Bibliographic databases:
Document Type: Article
MSC: 35B40, 35B44, 35L05, 35L75
Language: English
Citation: Erhan Pişkin, Fatma Ekinci, Khaled Zennir, “Local existence and blow-up of solutions for coupled viscoelastic wave equations with degenerate damping terms”, Theor. Appl. Mech., 47:1 (2020), 123–154
Citation in format AMSBIB
\Bibitem{PisEkiZen20}
\by Erhan~Pi{\c s}kin, Fatma~Ekinci, Khaled~Zennir
\paper Local existence and blow-up of solutions for coupled viscoelastic wave equations with degenerate damping terms
\jour Theor. Appl. Mech.
\yr 2020
\vol 47
\issue 1
\pages 123--154
\mathnet{http://mi.mathnet.ru/tam80}
\crossref{https://doi.org/10.2298/TAM200428008P}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000564166900008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85089271027}
Linking options:
  • https://www.mathnet.ru/eng/tam80
  • https://www.mathnet.ru/eng/tam/v47/i1/p123
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Theoretical and Applied Mechanics
    Statistics & downloads:
    Abstract page:88
    Full-text PDF :36
    References:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024