RATIONALE OF DIFFERENTIAL SPLITTING SCHEMES FOR EQUATIONS OF VISCOUS COMPLRESSIBLE FLUIDS MIXTURE MOVEMENT
Abstract
We consider the differential splitting scheme on physical processes on the system one-dimensional equations viscous compressible fluid mixtures movement. Prove the convergence at the scale of Sobolev spaces in the proposed scheme of splitting. The results can be used as the basis on the construction of mathematical analysis and the corresponding finite-difference splitting scheme. In addition, proved theorem on the convergence proves the existence of a solution to the initial-boundary value problem.
About the Authors
N. A. Kucher
Kemerovo State University
Russian Federation
Nikolay A. Kucher – research advisor, Doctor of physicist-mathematical sciences, Professor at the Department of differential equations at the Faculty of mathematic
Russian Federation
Nikolay A. Kucher – research advisor, Doctor of physicist-mathematical sciences, Professor at the Department of differential equations at the Faculty of mathematic
O. D. Kiseleva
Kemerovo State University
Russian Federation
Russian Federation
Olesia D. Kiseleva – Undergraduate of Faculty of mathematics
References
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Review
For citations:
Kucher N.A., Kiseleva O.D. RATIONALE OF DIFFERENTIAL SPLITTING SCHEMES FOR EQUATIONS OF VISCOUS COMPLRESSIBLE FLUIDS MIXTURE MOVEMENT. SibScript. 2013;(4-2):46-51. (In Russ.)
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