Geodesic
Viscous flow through a~porous medium filled by liquid with varying viscosity
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2017), pp. 74-87

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The paper deals with study of a Stokes-Brinkman system with varying viscosity that describes the fluid flow along an ensemble of partially porous cylindrical particles using the cell approach. We have proved the existence and uniqueness of the solutions as well as derived some uniform estimates. 
@article{BASM_2017_3_a5,
     author = {Anatoly Filippov and Yulia Koroleva},
     title = {Viscous flow through a~porous medium filled by liquid with varying viscosity},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {74--87},
     publisher = {mathdoc},
     number = {3},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2017_3_a5/}
}
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Anatoly Filippov; Yulia Koroleva. Viscous flow through a~porous medium filled by liquid with varying viscosity. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2017), pp. 74-87. http://geodesic.mathdoc.fr/item/BASM_2017_3_a5/