Y. O. Koroleva, A. V. Korolev, “Homogenization of a lubrication problem in oscillating domain by two-scale convergence method”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2021, no. 1-2, 31

Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2021, Number 1-2, Pages 31–68 (Mi basm546)

Homogenization of a lubrication problem in oscillating domain by two-scale convergence method

Y. O. Koroleva, A. V. Korolev

Department of Higher Mathematics, Gubkin State University of Oil and Gas (National Research University), Leninskij prospect 65-1, Moscow, 119991, Russia

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Abstract: In present paper we do a homogenization with respect to a small parameter of a boundary-value problem describing fluid flow between two moving in space and time rough surfaces. The two-scale convergence method was used to justify the behavior of the flow in the limit.

Keywords and phrases: lubrication theory, homogenization theory, fluid mechanics, Reynolds equations, Stokes equations, two-scale convergence.

Received: 25.06.2018

Document Type: Article

MSC: 35Q35, 35B27, 76D08

Language: English

Citation: Y. O. Koroleva, A. V. Korolev, “Homogenization of a lubrication problem in oscillating domain by two-scale convergence method”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2021, no. 1-2, 31–68

Citation in format AMSBIB

\Bibitem{KorKor21}

\by Y.~O.~Koroleva, A.~V.~Korolev

\paper Homogenization of a lubrication problem in oscillating domain by two-scale convergence method

\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.

\yr 2021

\issue 1-2

\pages 31--68

\mathnet{http://mi.mathnet.ru/basm546}

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https://www.mathnet.ru/eng/basm/y2021/i1/p31

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

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