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[Text] / A. A. Chesnokov, I. V. Stepanova // Appl. Math. Comput. - 2015. - Vol. 265. - P320-328, DOI 10.1016/j.amc.2015.05.019. - Cited References:19. - The work is supported by Russian Foundation of Basic Research (project 14-31-50572), the Program of Leading Scientific Schools Supporting (project 2133.2014.1) and Integrating project of SB RAS (44). . - ISSN 0096-3003. - ISSN 1873-5649РУБ Mathematics, Applied

Аннотация: A mathematical model describing motion of an inhomogeneous incompressible fluid in a Hele-Shaw cell is considered. Linear stability analysis of shear flow class is provided. The role of inertia, linear friction and impermeable boundaries in Kelvin Helmholtz instability is studied. Hierarchy of simplified one-dimensional models of viscosity- and density stratified flows is obtained in long wave approximation. Interpretation of Saffman-Taylor instability is given in the framework of these models. (C) 2015 Elsevier Inc. All rights reserved.

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Держатели документа:
Novosibirsk State Univ, Novosibirsk 630090, Russia.
RAS, SB, Lavrentyev Inst Hydrodynam, Novosibirsk, Russia.
RAS, SB, Inst Computat Modeling, Krasnoyarsk, Russia.

Доп.точки доступа:
Stepanova, I.V.; Степанова, Ирина Владимировна; Russian Foundation of Basic Research [14-31-50572]; Program of Leading Scientific Schools Supporting [2133.2014.1]Integrating project of SB RAS