Mathematical modeling

Regular solvability of the first initial-boundary value problem for the quasihydrodynamic system of equations in the shallow water approximation

F. A. Evseev

Yugra State University, Khanty-Mansiysk

Abstract: In this paper we consider the solvability of the analog of the first initial boundary value problem for the quasihydrodynamic system of equations in the shallow water approximation. Under certain conditions on the data, it is shown that there exists a single regular solution of the problem locally in time.

Keywords: initial-boundary value problem, quasi-hydrodynamic system, regular solution, shallow water equation

UDC: 517.95

DOI: 10.25587/2411-9326-2025-1-111-112