DOAJ Open Access 2021

On One Initial Boundary Value Problem for the Burgers Equation in a Rectangular Domain

M.T. Jenaliyev M.G. Yergaliyev A.A. Assetov A.K. Kalibekova

Abstrak

We consider some initial boundary value problems for the Burgers equation in a rectangular domain, which in a sense can be taken as a model one. The fact is that such a problem often arises when studying the Burgers equation in domains with moving boundaries. Using the methods of functional analysis, priori estimates, and Faedo-Galerkin in Sobolev spaces and in a rectangular domain, we show the correctness of the initial boundary value problem for the Burgers equation with nonlinear boundary conditions of the Neumann type.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (4)

M.T. Jenaliyev

M.G. Yergaliyev

A.A. Assetov

A.K. Kalibekova

Format Sitasi

APA MLA BibTeX

Jenaliyev, M., Yergaliyev, M., Assetov, A., Kalibekova, A. (2021). On One Initial Boundary Value Problem for the Burgers Equation in a Rectangular Domain. https://doi.org/10.31489/2021m4/74-88

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.31489/2021m4/74-88
Akses: Open Access ✓