Work

Asymptotic Behavior of the Solution of the Initial Boundary Value Problem for a Boussınesq Analog Equation

Year: 2025

Type: article

Abstract: In this paper, the asymptotics of the solution of the initial boundary value problem for a sixth-order nonlinear partial differential equation of Boussinesq type is studied. First, the energy function is obtained. Then, apriori evaluations for this function are obtained. Then, by imposing some conditions on the function on the right-hand side of the equation and using appropriate inequalities, it is shown that the solution is asymptotically damped.

Source: Journal of Applied Mathematics and Physics

DOI: 10.4236/jamp.2025.134052

Authors: Sherif Amirov, Hale Koyuncu, Orhan Amirov

Institutions: Karabük University, Atatürk University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409113588

FWCI:

Cites: 26

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Related to: 10