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This article is cited in 54 scientific papers (total in 54 papers)
On the transient motion of an isolated volume of viscous incompressible fluid
V. A. Solonnikov
Abstract:
Solvability locally in time is proved for a free-boundary problem describing the evolution of a finite mass of viscous incompressible fluid in $\mathbf R^n$, $n=2,3$, without taking surface tension into account. Sufficient conditions for the extension of a solution to the infinite time interval $t>0$ are given. A solution is obtained in the space $W_p^{2,1}$ with $p>n$.
Bibliography: 19 titles.
Received: 27.06.1986
Citation:
V. A. Solonnikov, “On the transient motion of an isolated volume of viscous incompressible fluid”, Math. USSR-Izv., 31:2 (1988), 381–405
Linking options:
https://www.mathnet.ru/eng/im1331https://doi.org/10.1070/IM1988v031n02ABEH001081 https://www.mathnet.ru/eng/im/v51/i5/p1065
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Abstract page: | 475 | Russian version PDF: | 127 | English version PDF: | 29 | References: | 54 | First page: | 1 |
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