General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type II-Reference-Cited by-同舟云学术

General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type II

Published:2022-03-11 Issue: Volume:2022 Page:1-12
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Boulaaras Salah¹^ORCID,Choucha Abdelbaki²³,Scapellato Andrea⁴^ORCID

Affiliation:

1. Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia

2. Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, El Oued, Algeria

3. Department of Matter Sciences, College of Sciences, Amar Teleji Laghouat University, Laghouat, Algeria

4. Department of Mathematics and Computer Science, University of Catania, Catania, Italy

Abstract

This study deals with the general decay of solutions of a new class of Moore–Gibson–Thompson equation with respect to the memory kernel of type II. By using the energy method in the Fourier space, we establish the main results.

Funder

Università degli Studi di Catania

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/9015775.pdf

Reference19 articles.

1. Moore–Gibson–Thompson equation with memory, part II: General decay of energy

2. An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: structural decomposition, spectral analysis, exponential stability

3. WELL-POSEDNESS AND EXPONENTIAL DECAY OF THE ENERGY IN THE NONLINEAR JORDAN–MOORE–GIBSON–THOMPSON EQUATION ARISING IN HIGH INTENSITY ULTRASOUND