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

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

doi:10.31489/2022m2/117-127

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

Authors

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

DOI:

https://doi.org/10.31489/2022m2/117-127

Keywords:

Boussinesq-type equation, boundary value problem, trapezoid, theory of monotone operators

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.

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Published

2022-06-30

How to Cite

Jenaliyev, M., Kassymbekova, A., Yergaliyev, M., & Assetov, A. (2022). An initial boundary value problem for the Boussinesq equation in a Trapezoid. Bulletin of the Karaganda University. Mathematics Series, 106(2), 117–127. https://doi.org/10.31489/2022m2/117-127