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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
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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.
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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
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\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}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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