A new strict decay rate for systems of longitudinal $ m $-nonlinear viscoelastic wave equations-Reference-Cited by-同舟云学术

A new strict decay rate for systems of longitudinal $ m $-nonlinear viscoelastic wave equations

Published:2023 Issue:1 Volume:8 Page:962-976
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Bouhali Keltoum¹²,Zubair Sulima Ahmed¹³,Khalifa Wiem Abedelmonem Salah Ben⁴,Osman Najla ELzein AbuKaswi⁴,Zennir Khaled¹⁵

Affiliation:

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

2. Departement de Mathématiques, Faculté des sciences, Université 20 Aôut 1955, Skikda, Algérie

3. Department of mathematics, college of Education, Bahry University, Sudan

4. College of Arts, Imam Abdulrahman Bin Faisal University, Saudi Arabia

5. Laboratoire de Mathématiques Appliquées et de Modélisation, Université 8 Mai 1945 Guelma, Guelma 24000, Algeria

Abstract

<abstract><p>Recent years have been marked by a significant increase in interest in solving nonlinear equations that arise in various fields of natural science. This trend is associated with the creation of a new method of mathematical physics. The present study is devoted to the analysis of the propagation of $ m $-nonlinear viscoelastic waves equations in an unbounded domain. The physical properties are determined by the equations of the linear theory of viscoelasticity. This article shows the main effect and interaction between the different weak and strong damping terms on the behavior of solutions. We found, under a novel condition on the kernel functions, an energy decay rate by using an appropriate energy estimates.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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