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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 306, Pages 134–164
(Mi znsl853)
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This article is cited in 1 scientific paper (total in 1 paper)
On a steady three-dimensional noncompact free boundary value problem for the Navier–Stokes equations
K. I. Pileckas, L. Zaleskis Institute of Mathematics and Informatics
Abstract:
A steady three-dimensional flow of a viscous incompressible fluid with a noncompact free boundary above a fixed unbounded bottom is studied. It is assumed that the motion of the fluid is generated by sources and sinks situated in a bounded part of the bottom and having zero total flux. The existence for small data of the unique solution to this problem is proved and the asymptotics of the solution is constructed.
Received: 26.10.2003
Citation:
K. I. Pileckas, L. Zaleskis, “On a steady three-dimensional noncompact free boundary value problem for the Navier–Stokes equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 34, Zap. Nauchn. Sem. POMI, 306, POMI, St. Petersburg, 2003, 134–164; J. Math. Sci. (N. Y.), 130:4 (2005), 4852–4870
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https://www.mathnet.ru/eng/znsl853 https://www.mathnet.ru/eng/znsl/v306/p134
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Abstract page: | 212 | Full-text PDF : | 56 | References: | 48 |
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