An initial boundary value problem for the Boussinesq equation in a Trapezoid

Author:

Jenaliyev M.T., ,Kassymbekova A.S.,Yergaliyev M.G.,Assetov A.A., , ,

Abstract

This paper considers an initial boundary value problem for a one-dimensional Boussinesq-type equation in a domain, that is, a trapezoid. Using the methods of the theory of monotone operators, we establish theorems on their unique weak solvability in Sobolev classes.

Publisher

Karagandy University of the name of academician E.A. Buketov

Subject

General Engineering

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the spectral problem for three-dimesional bi-Laplacian in the unit sphere;BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS;2024-06-28

2. ON THE INITIAL BOUNDARY PROBLEM FOR HYPERBOLIC EQUATIONS WITH EXPONENTIAL DEGENERATION t 12/7;Journal of Mathematics, Mechanics and Computer Science;2024-03

3. On boundary value problems for the Boussinesq-type equation with dynamic and non-dynamic boundary conditions;Advances in the Theory of Nonlinear Analysis and its Application;2023-07-23

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