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

Authors

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

DOI:

https://doi.org/10.31489/2021m4/74-88

Keywords:

Burgers equation, boundary value problem, Sobolev classes, rectangular domain, Galerkin methods, priori estimates

Abstract

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.

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Published

30.12.2021

How to Cite

Jenaliyev, M.T., Yergaliyev, M.G., Assetov, A.A., & Kalibekova, A.K. (2021). On One Initial Boundary Value Problem for the Burgers Equation in a Rectangular Domain. Bulletin of the Karaganda University. Mathematics Series, 4(104), 74–88. https://doi.org/10.31489/2021m4/74-88

Issue

No. 4 (104)/2021

Section

MATHEMATICS