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This article is cited in 1 scientific paper (total in 1 paper)
Research Papers
On the solvability of initial-boundary value problems for a viscous compressible fluid in an infinite time interval
V. A. Solonnikov St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia
Abstract:
The solution is estimated of the first boundary-value problem for the Navier–Stokes equations in the case of a compressible fluid in an infinite time interval; the solvability of the problem and the exponential decay of the solution as $t\to\infty$ are proved. The proof is based on the “free work” method due to Prof. M. Padula. It is shown that the method is applicable to the analysis of free boundary problems.
Keywords:
Navier–Stokes equations, viscosity, anisotropic Sobolev–Slobodetski spaces.
Received: 02.12.2014
Citation:
V. A. Solonnikov, “On the solvability of initial-boundary value problems for a viscous compressible fluid in an infinite time interval”, Algebra i Analiz, 27:3 (2015), 238–271; St. Petersburg Math. J., 27:3 (2016), 523–546
Linking options:
https://www.mathnet.ru/eng/aa1443 https://www.mathnet.ru/eng/aa/v27/i3/p238
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Abstract page: | 275 | Full-text PDF : | 86 | References: | 39 | First page: | 24 |
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