Work

Existence and decay rates of solution for the Moore-Gibson-Thompson equation linear

Year: 2025

Type: article

Abstract: This work is devoted to the study the linear Moore-Gibson-Thompson equation with a viscoelastic memory. Under some appropriate assumptions on the relaxation function $g$ and with certain initial data, the existence and uniqueness of a local solution are obtained via Faedo--Galerkin's method. The global existence of solutions is also established. Furthermore, we prove the decay rates for the energy of Moore-Gibson-Thompson equation linear with a viscoelastic memory of relaxation kernels.

Source: Gulf Journal of Mathematics

DOI: 10.56947/gjom.v20i2.3074

Author: Ala Eddine Draifia

Institutions: University Center of Aflou, Amar Telidji University of Laghouat

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: W4413301634

FWCI:

Cites: 14

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Related to: 10