On One Initial Boundary Value Problem for the Burgers Equation in a Rectangular Domain
Тiкбұрышты облыстағы Бюргерс теңдеуi үшiн бiр бастапқы шекаралық есеп туралы
Об одной начальной граничной задаче для уравнения Бюргерса в прямоугольной области
Jenaliyev M.T. Yergaliyev M.G. Assetov A.A. Kalibekova A.K.
2021E.A.Buketov Karaganda State University Publish House
Bulletin of the Karaganda University. Mathematics Series
2021#104Issue 474 - 88 pp.
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.
boundary value problem , Burgers equation , Galerkin methods , priori estimates , rectangular domain , Sobolev classes
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Karagandy University of the name of Academician E.A. Buketov, Karaganda, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Karagandy University of the name of Academician E.A. Buketov
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026