Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Gritsenko S. A. On the Diffusion and Slow Convection in Slightly Compressible Viscous Fluid. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, vol. 9, iss. 2, pp. 19-24. DOI: 10.18500/1816-9791-2009-9-2-19-24

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
18.06.2009
Full text:
(downloads: 163)
Language: 
Russian
Heading: 
UDC: 
517.958:531.72, 517.958:539.3(4)

On the Diffusion and Slow Convection in Slightly Compressible Viscous Fluid

Autors: 
Gritsenko Svetlana Aleksandrovna, Federal State Autonomous Educational Institution of Higher Education ”Belgorod State University”
Abstract: 

We consider diffusion and slow convection of admixture in slightly compressible viscous fluid, described by the Stokes system, where viscous of fluid depends on the concentration of admixture. The Stokes system suppliedby the diffusionequation with the convective term.We prove for this system the correctnes softheinitial-boundary problem in the limited domain with the homogeneous Dirichlet conditions for the fluid velocity and the homogeneous Neuman condition for the concentration of admixture on the boundary of domain.

References: 
  1. Ладыженская О.А., Солонников В.А., Уральцева Н.Н., Линейные и квазилинейные уравнения параболического типа. М.: Наука, 1967.
  2. Лионс Ж.-Л. Некоторые методы решения нелинейных краевых задач. М.: Мир, 1972.
Received: 
25.06.2009
Accepted: 
25.06.2009
Published: 
25.07.2009