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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)
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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
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
Citation:
D. Zakora, “A symmetric model of viscous relaxing fluid. An evolution problem”, Zh. Mat. Fiz. Anal. Geom., 8:2 (2012), 190–206
Linking options:
https://www.mathnet.ru/eng/jmag534 https://www.mathnet.ru/eng/jmag/v8/i2/p190
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Abstract page: | 180 | Full-text PDF : | 66 | References: | 38 |
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