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This article is cited in 10 scientific papers (total in 10 papers)
Homogenization of non-stationary Stokes equations with viscosity in a perforated domain
G. V. Sandrakov
M. V. Lomonosov Moscow State University
Abstract:
Theorems are proved about the asymptotic behaviour of solutions of an initial boundary-value problem for non-stationary Stokes equations in a periodic perforated domain with a small period $\varepsilon$. The viscosity coefficient $\nu$ of the equations is assumed to be a positive parameter satisfying one of the following three conditions: $\nu/\varepsilon^2 \to \infty,1,0$ as $\varepsilon\to 0$. We also consider the case of degenerate Stokes equations with zero viscosity coefficient and the case of Navier–Stokes equations when the viscosity coefficient is not too small.
DOI:
https://doi.org/10.4213/im107
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English version:
Izvestiya: Mathematics, 1997, 61:1, 113–141
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MSC: Primary 35B27; Secondary 76D05
Received: 27.04.1995
Citation:
G. V. Sandrakov, “Homogenization of non-stationary Stokes equations with viscosity in a perforated domain”, Izv. RAN. Ser. Mat., 61:1 (1997), 113–140; Izv. Math., 61:1 (1997), 113–141
Citation in format AMSBIB
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Pastukhova S.E., “Homogenization of the stationary Stokes system in a perforated domain with a mixed condition on the boundary of cavities”, Differential Equations, 36:5 (2000), 755–766
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G. V. Sandrakov, “On some properties of solutions of Navier-Stokes equations with oscillating data”, J. Math. Sci. (N. Y.), 143:4 (2007), 3377–3385
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Prakash J., Sekhar G.P.R., Kohr M., “Faxen's law for arbitrary oscillatory Stokes flow past a porous sphere”, Archives of Mechanics, 64:1 (2012), 41–63
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Zhendong Luo, Fei Teng, Zhenhua Di, “A POD-based reduced-order finite difference extrapolating model with fully second-order accuracy for non-stationary Stokes equations”, International Journal of Computational Fluid Dynamics, 2014, 1
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