Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2012, Volume 8, Number 2, Pages 190–206 (Mi jmag534)  
This article is cited in 2 scientific papers (total in 2 papers)

A symmetric model of viscous relaxing fluid. An evolution problem

D. Zakora

Taurida National V. I. Vernadsky University 4 Vernadsky Ave., Simferopol 95007, Crimea, Ukraine
Full-text PDF (314 kB) Citations (2)
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Abstract: An evolution problem on small motions of the viscous rotating relaxing fluid in a bounded domain is studied. The problem is reduced to the Cauchy problem for the first-order integro-differential equation in a Hilbert space. Using this equation, we prove a strong unique solvability theorem for the corresponding initial-boundary value problem.
Key words and phrases: viscous fluid, compressible fluid, existence, uniqueness, integro-differential equation.
Received: 12.04.2011
Bibliographic databases:
Document Type: Article
MSC: 45K05, 58C40, 76R99
Language: English
Citation: D. Zakora, “A symmetric model of viscous relaxing fluid. An evolution problem”, Zh. Mat. Fiz. Anal. Geom., 8:2 (2012), 190–206
Citation in format AMSBIB
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\by D.~Zakora
\paper A symmetric model of viscous relaxing fluid. An evolution problem
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2012
\vol 8
\issue 2
\pages 190--206
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2985610}
\zmath{https://zbmath.org/?q=an:06082853}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000304030100006}
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    • 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
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    References:36
     
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