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Найдено документов в текущей БД: 2

    Ostroumov-Birikh solution of convection equations with nonlinear buoyancy force
[Text] / V. K. Andreev, I. V. Stepanova // Appl. Math. Comput. - 2014. - Vol. 228. - P. 59-67, DOI 10.1016/j.amc.2013.11.002. - Cited References: 21. - The work is supported by RFBR Grant (project 11-01-00283) and Integrational grant of SB of RAS (project 44). . - ISSN 0096-3003. - ISSN 1873-5649
РУБ Mathematics, Applied

Аннотация: The thermodiffusion convection equations with nonlinear buoyancy force are studied. Some particular solutions for describing of thermoconcentration flows are found. Two boundary value problems are solved for thermal convection case. The comparison with the linear Oberbeck-Boussinesq model is given. (C) 2013 Elsevier Inc. All rights reserved.

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Держатели документа:
[Andreev, Viktor K.
Stepanova, Irina V.] Inst Computat Modelling SB RAS, Krasnoyarsk 660036, Russia
ИВМ СО РАН

Доп.точки доступа:
Andreev, V.K.; Андреев, Виктор Константинович; Stepanova, I.V.; Степанова, Ирина Владимировна; RFBR [11-01-00283]; Integrational grant of SB of RAS [44]
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    Stability analysis of shear flows in a Hele-Shaw cell
Chesnokov, Alexander.
[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 1873-5649
РУБ Mathematics, Applied
Рубрики:
POROUS-MEDIA
   INSTABILITIES
   FLUID
Кл.слова (ненормированные):
Hele-Shaw flows -- Wave solutions -- Stability -- Layered flows

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
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