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BOUNDARY-VALUE PROBLEM FOR PLUG FLOW IN THE CHANNEL

Abstract

In the article [1], we have proved the existence of solutions for a model of plug flow at each time step tm = mτ, m = 0,1,…, M. In this article, a priori estimates of these solutions have been obtained, which do not depend on τ and allow passing to the limit as τ→0.

About the Author

S. S. Kayanovich
Belarusian State University of Informatics and Radioelectronics
Belarus
Ph. D. (Physics and Mathematics), Assistant Professor of the Chair of Higher
Mathematics,


References

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7. Ladyzhenskaya O.A. Solution of the first boundary-value problems, in general for quasi-linear parabolic equations. Trudy Moskovskogo matematematicheskogo obshchestva [Works of the Moscow Mathematical Society], 1958, vol. 7, pp. 149–177. (in Russian)

8. Ladyzhenskaya O.A., Ural’tseva N.N. Linear and quasi-linear equations of elliptical type. Мoscow, Nauka, 1964. 538 p. (in Russian)

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11. Kayanovich S.S. Plug flow of viscous fluid. Vestsі Natsyianal’nai akademіі navuk Belarusі. Ser. Fіzіka-tekhnіchnykh navuk [Proceedings of the National Academy of Sciences of Belarus. Physico-Technical series], 2013, no. 3, pp. 32–35. (in Russian)


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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)