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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2021, номер 1-2, страницы 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

Аннотация: 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.

Ключевые слова и фразы: lubrication theory, homogenization theory, fluid mechanics, Reynolds equations, Stokes equations, two-scale convergence.

MSC: 35Q35, 35B27, 76D08

Поступила в редакцию: 25.06.2018

Язык публикации: английский



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