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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 221, Pages 185–207
(Mi znsl4303)
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This article is cited in 7 scientific papers (total in 7 papers)
Nonlocal problems for the equations of Kelvin–Voight fluids and their $\varepsilon$-approximations
A. P. Oskolkov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
In this paper, we study some nonlocal problems for the Kelvin–Voight equations (1) and the penalized Kelvin–Voight equations (2): the first and second initial boundary-value problems and the first and second time periodic boundary problems. We prove that these problems have global smooth solutions of the class $W^1_\infty(\mathbb R^+;W_2^{2+k}(\Omega))$, $k=1,2,\dots$; $\Omega\subset\mathbb R^3$. Bibliography: 25 titles.
Received: 01.02.1995
Citation:
A. P. Oskolkov, “Nonlocal problems for the equations of Kelvin–Voight fluids and their $\varepsilon$-approximations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 26, Zap. Nauchn. Sem. POMI, 221, POMI, St. Petersburg, 1995, 185–207; J. Math. Sci. (New York), 87:2 (1997), 3393–3408
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https://www.mathnet.ru/eng/znsl4303 https://www.mathnet.ru/eng/znsl/v221/p185
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Abstract page: | 193 | Full-text PDF : | 118 |
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