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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 397, Pages 126–149
(Mi znsl4671)
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This article is cited in 7 scientific papers (total in 7 papers)
On some stationary problems of magnetohydrodynamics in multi-connected domains
Sh. Sakhaeva, V. A. Solonnikovb a Al-Farabi Kazakh National University, Almaty, Kazakhstan
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
We prove maximal regularity estimates in the Sobolev spaces $W^2_p$ and in the Hölder spaces $C^{2+\alpha}$ for weak solutions of stationary problems of magnetohydrodynamics. We give precise formulation of these problems in multi-connected domains.
Key words and phrases:
magnetohydrodynamics, maximal regularity, Sobolev and Hölder spaces.
Received: 19.10.2011
Citation:
Sh. Sakhaev, V. A. Solonnikov, “On some stationary problems of magnetohydrodynamics in multi-connected domains”, Boundary-value problems of mathematical physics and related problems of function theory. Part 42, Zap. Nauchn. Sem. POMI, 397, POMI, St. Petersburg, 2011, 126–149; J. Math. Sci. (N. Y.), 185:5 (2012), 728–741
Linking options:
https://www.mathnet.ru/eng/znsl4671 https://www.mathnet.ru/eng/znsl/v397/p126
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Abstract page: | 344 | Full-text PDF : | 123 | References: | 63 |
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