SOLVABILITY OF MULTIDIMENSIONAL EQUATIONS OF A BINARY MIXTURE BAROTROPIC STEADY FLOW
Abstract
The equations of three-dimensional steady barotropic motions of binary mixtures of viscous compressible fluids with different adiabatic constants are considered. Existence theorem for the boundary value problem that corresponds to flows in a bounded domain is proved within the class of weak solutions. Generalization of communicative property of effective viscous fluxes for mixtures is given.
About the Authors
O. V. Malyshenko
Kemerovo State University
Russian Federation
Olga V. Malyshenko – Senior Lecturer at the Department of Differential Equations
Russian Federation
Olga V. Malyshenko – Senior Lecturer at the Department of Differential Equations
A. E. Mamontov
Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the RAS
Russian Federation
Alexander E. Mamontov – Doctor of Physics and Mathematics; Leading Researcher
Russian Federation
Alexander E. Mamontov – Doctor of Physics and Mathematics; Leading Researcher
D. A. Prokudin
Kemerovo State University
Russian Federation
Dmitry A. Prokudin – Candidate of Physics and Mathematics; Assistant Professor at the Department of Differential Equations
Russian Federation
Dmitry A. Prokudin – Candidate of Physics and Mathematics; Assistant Professor at the Department of Differential Equations
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Review
For citations:
Malyshenko O.V., Mamontov A.E., Prokudin D.A. SOLVABILITY OF MULTIDIMENSIONAL EQUATIONS OF A BINARY MIXTURE BAROTROPIC STEADY FLOW. SibScript. 2013;(2-1):85-90. (In Russ.)
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