Journals Information
Mathematics and Statistics Vol. 5(4), pp. 143 - 150
DOI: 10.13189/ms.2017.050402
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Qualitative Properties of the Solution to Brinkman-Stokes System Modelling a Filtration Process
Yulia Koroleva *
Department of Higher Mathematics, Gubkin State University of Oil and Gas (National Research University), Russia
ABSTRACT
The paper deals with study of Stokes-Brinkman system with varying viscosity that describes the fluid flow along an ensemble of partially porous cylindrical particles using the cell approach. Existence and uniqueness of the solution to the system is proved for an arbitrary varying viscosity. Some uniform estimates on the velocity of flow are derived. Moreover, an axillary weighted Friedrichs inequality was proved for the solution of the considered system. The numerical illustration of the obtained results is given.
KEYWORDS
Fluid Flow, Stokes System, Brinkman's Equation, Varying Viscosity
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Yulia Koroleva , "Qualitative Properties of the Solution to Brinkman-Stokes System Modelling a Filtration Process," Mathematics and Statistics, Vol. 5, No. 4, pp. 143 - 150, 2017. DOI: 10.13189/ms.2017.050402.
(b). APA Format:
Yulia Koroleva (2017). Qualitative Properties of the Solution to Brinkman-Stokes System Modelling a Filtration Process. Mathematics and Statistics, 5(4), 143 - 150. DOI: 10.13189/ms.2017.050402.