SOLVABILITY OF THE MOORE–GIBSON–THOMPSON EQUATION WITH VISCOELASTIC MEMORY TERM AND INTEGRAL CONDITION VIA GALERKIN METHOD-Reference-Cited by-同舟云学术

SOLVABILITY OF THE MOORE–GIBSON–THOMPSON EQUATION WITH VISCOELASTIC MEMORY TERM AND INTEGRAL CONDITION VIA GALERKIN METHOD

Published:2021-03-16 Issue:05 Volume:29 Page:2140021
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

BOULAARAS SALAH¹²

Affiliation:

1. Department of Mathematics, College of Sciences and Arts, Ar-Rass, Qassim University, Kingdom of Saudi Arabia

2. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria

Abstract

We consider the following abstract version of the Moore–Gibson–Thompson (MGT) equation: [Formula: see text] depending on the parameters [Formula: see text] [Formula: see text] [Formula: see text] and [Formula: see text] is a convex and nonnegative memory kernel. The related energy has been shown to decay exponentially by Boulaaras et al., Math. Meth. Appl. Sci. 42 (2019) 2664–2679; Lasiecka et al., Z. Angew. Math. Phys. 67 (2016) 17. Here, in this original work, the solvability of the abstract version of nonlocal mixed boundary value problem for the MGT equation via Galerkin’s method is discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21400211

Reference22 articles.

1. Compressible-Fluid Dynamics

2. Propagation of ultrasonic sound waves in dissipative dilute gases and extended irreversible thermodynamics

3. Galerkin method for nonlocal mixed boundary value problem for the Moore‐Gibson‐Thompson equation with integral condition

4. Stepwise Stability for the Heat Equation with a Nonlocal Constraint

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