Blow-Up of Solution of Lamé Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms-Reference-Cited by-同舟云学术

Blow-Up of Solution of Lamé Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms

Published:2023-11-09 Issue:22 Volume:11 Page:4591
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Benramdane Amina¹²,Mezouar Nadia³,Bensaber Fatna²,Boulaaras Salah⁴^ORCID,Jan Rashid⁵^ORCID

Affiliation:

1. Higher School of Management, Tlemcen 13000, Algeria

2. Statistic and Random Modelization Laboratory, Tlemcen 13000, Algeria

3. Faculty of Economies Sciences, Mascara University, Mascara 29000, Algeria

4. Department of Mathematics, College of Sciences and Arts in ArRass, Qassim University, Buraydah 51452, Saudi Arabia

5. Institute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan IKRAM-UNITEN, Kajang 43000, Selangor, Malaysia

Abstract

In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. In addition to this, we establish a blow-up result for the solution under the condition of non-positive initial energy.

Funder

Deanship of Scientific Research, Qassim University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/22/4591/pdf

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