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ON WELL-POSEDNESS OF STEADY PROBLEM FOR MIXTURE OF COMPRESSIBLE VISCOUS FLUIDS FLOW AROUND AN OBSTACLE

Abstract

The inhomogeneous boundary value problems for equations of mixture of compressible viscous fluids steady flow around an obstacle are considered. Existence and uniqueness of strong solution for such problem is proved. The results established in the paper can be used to analyze the optimal shape for obstacles in compressible flow of mixture of viscous fluids.

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


A. A. Zhalnina
Kemerovo State University
Russian Federation
Alexandra  A.  Zhalnina  –  Senior  Lecturer  at  the  Department  of  Differential Equations


References

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2. Нигматулин Р. И. Динамика многофазных сред. Ч. 1. М.: Наука, 1987.

3. Никольский С. Л. Приближение функций многих переменных и теоремы вложения. М.: Наука, 1977.

4. Соболев С. Л. Некоторые применения функционального анализа в математической физике. М.: Наука, 1988.

5. Plotnikov P., Sokolowski J. Compressible Navier-Stokes equations: theory and shape optimization. Basel: Birkhauser, 2012.

6. Rajagopal K. R., Tao L. Mechanics of mixtures. London:World Scientific Publishing, 1995.


Review

For citations:


Kucher N.A., Zhalnina A.A. ON WELL-POSEDNESS OF STEADY PROBLEM FOR MIXTURE OF COMPRESSIBLE VISCOUS FLUIDS FLOW AROUND AN OBSTACLE. SibScript. 2014;(4-3):47-53. (In Russ.)

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