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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 206, Pages 42–62
DOI: https://doi.org/10.36535/0233-6723-2022-206-42-62 (Mi into964) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a Neumann-type problem for the Burgers equation in a degenerate corner domain

M. T. Dzhenaliev (Jenaliyev)a, M. G. Yergaliyeva, A. A. Assetovb, A. M. Ayazbayevaa

a Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan, Almaty
b E. A. Buketov Karaganda State University
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DOI: https://doi.org/10.36535/0233-6723-2022-206-42-62
Abstract: Using a priori estimates, the Faedo—Galerkin method, and other methods of functional analysis, we prove the well-posedness of the boundary-value problem for the Burgers equation with nonlinear Neumann-type boundary conditions in degenerate corner domains in Sobolev spaces.
Keywords: Burgers equation, Neumann-type boundary condition, degenerate corner domain, a priori estimate, solvability, uniqueness.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP08855372, 2020-2022
This work was supported by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (project No. AP08855372, 2020-2022).
Document Type: Article
UDC: 517.956; 517.958
MSC: 35K05, 35K55, 35R37
Language: Russian
Citation: M. T. Dzhenaliev (Jenaliyev), M. G. Yergaliyev, A. A. Assetov, A. M. Ayazbayeva, “On a Neumann-type problem for the Burgers equation in a degenerate corner domain”, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 206, VINITI, Moscow, 2022, 42–62
Citation in format AMSBIB
\Bibitem{DzhYerAss22}
\by M.~T.~Dzhenaliev (Jenaliyev), M.~G.~Yergaliyev, A.~A.~Assetov, A.~M.~Ayazbayeva
\paper On a Neumann-type problem for the Burgers equation in a degenerate corner domain
\inbook Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 206
\pages 42--62
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into964}
\crossref{https://doi.org/10.36535/0233-6723-2022-206-42-62}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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