Ural Mathematical Journal
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


Ural Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Ural Mathematical Journal, 2019, Volume 5, Issue 1, Pages 59–82
DOI: https://doi.org/10.15826/umj.2019.1.007 (Mi umj75) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Regular global attractors for wave equations with degenerate memory

Joseph L. Shomberg

Department of Mathematics and Computer Science, Providence College, Providence, RI 02918, USA
Full-text PDF (299 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.15826/umj.2019.1.007
Abstract: We consider the wave equation with degenerate viscoelastic dissipation recently examined in Cavalcanti, Fatori, and Ma, Attractors for wave equations with degenerate memory, J. Differential Equations (2016). Under certain extra assumptions (namely on the nonlinear term), we show the existence of a compact attracting set which provides further regularity for the global attractor and show that it consists of regular solutions
Keywords: degenerate viscoelasticity, relative displacement history, nonlinear wave equation, critical exponent, regular global attractor.
Bibliographic databases:
Document Type: Article
Language: English
Citation: Joseph L. Shomberg, “Regular global attractors for wave equations with degenerate memory”, Ural Math. J., 5:1 (2019), 59–82
Citation in format AMSBIB
\Bibitem{Sho19}
\by Joseph~L.~Shomberg
\paper Regular global attractors for wave equations with degenerate memory
\jour Ural Math. J.
\yr 2019
\vol 5
\issue 1
\pages 59--82
\mathnet{http://mi.mathnet.ru/umj75}
\crossref{https://doi.org/10.15826/umj.2019.1.007}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR3995656}
\zmath{https://zbmath.org/?q=an:1451.37094}
\elib{https://elibrary.ru/item.asp?id=38948060}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071446441}
Linking options:
  • https://www.mathnet.ru/eng/umj75
  • https://www.mathnet.ru/eng/umj/v5/i1/p59
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Ural Mathematical Journal
    Statistics & downloads:
    Abstract page:123
    Full-text PDF :120
    References:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024