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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 215, Pages 246–255
(Mi znsl5935)
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This article is cited in 1 scientific paper (total in 1 paper)
Smooth and convergent $\varepsilon$-approximations of the first boundary-value problem for the equations of Kelvin–Voight fluids and Oldroyd fluids
A. P. Oskolkov St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Abstract:
In this paper we study the global classical solvability on the semiaxes $t\in\mathbb R^+$ of the first initial-boundary value problem for two-dimensional perturbed equations (11) and three-dimensional perturbed equations (12) and (13), and also we study the convergence for $\varepsilon\to0$ of solutions of all these perturbed problems to the classical solutions of the first boundaryvalue problem for the equations (8), (9) and (10). Bibliography: 10 titles.
Received: 01.02.1994
Citation:
A. P. Oskolkov, “Smooth and convergent $\varepsilon$-approximations of the first boundary-value problem for the equations of Kelvin–Voight fluids and Oldroyd fluids”, Differential geometry, Lie groups and mechanics. Part 14, Zap. Nauchn. Sem. POMI, 215, Nauka, St. Petersburg, 1994, 246–255; J. Math. Sci. (New York), 85:1 (1997), 1715–1721
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https://www.mathnet.ru/eng/znsl5935 https://www.mathnet.ru/eng/znsl/v215/p246
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Abstract page: | 83 | Full-text PDF : | 32 |
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