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GLOBAL SOLVABILITY OF THE REGULARIZED PROBLEM OF VISCOUS COMPRESSIBLE FLUIDS MIXTURE MOVEMENT

Abstract

The boundary value problem for non-linear systems of partial differential equations; representing regularized sys tem of equations; describing the dynamics of the mixture of viscous compressible fluids is studied. The global solvabili ty (in terms of time) of the boundary value problem is proved.

About the Authors

N. A. Kucher
Kemerovo State University
Russian Federation
Nikolay A. Kucher – Doctor of Physics and Mathematics; Professor at the Department of Differential Equations


M. V. Krayushkina
Kemerovo State University
Russian Federation
Marina V. Krayushkina – Lecturer at the Department of Differential Equations


O. V. Malyshenko
Kemerovo State University
Russian Federation
Olga V. Malyshenko – Lecturer at the Department of Differential Equations


References

1. Rajagopal; K. R. Mehchanics of Mixtures / K. R. Rajagopal; L. Tao. – World Scientific; 1995.

2. Нигматулин; Р. И. Динамика многофазных сред / Р. И. Нигматулин. – М.: Наука; 1987.

3. Мазья; В. Г. Пространства С. Я. Соболева / В. Г. Мазья. – Л.: ЛГУ; 1985.

4. Никольский; С. Л. Приближение функций многих переменных и теоремы вложения / С. Л. Никольский. – М.: Наука; 1977.

5. Novotny; A. Introduction to the Mathematical Theory of Compressible Flow / A. Novotny. – Oxford University Press; 2004.


Review

For citations:


Kucher N.A., Krayushkina M.V., Malyshenko O.V. GLOBAL SOLVABILITY OF THE REGULARIZED PROBLEM OF VISCOUS COMPRESSIBLE FLUIDS MIXTURE MOVEMENT. SibScript. 2013;(2-1):80-84. (In Russ.)

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ISSN 2949-2122 (Print)
ISSN 2949-2092 (Online)