On a biharmonic coupled system with non-standard nonlinearity: Existence, blow up and numerics-Reference-Cited by-同舟云学术

On a biharmonic coupled system with non-standard nonlinearity: Existence, blow up and numerics

Published:2024-01-16 Issue: Volume: Page:1-31
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Bouhoufani Oulia¹,Messaoudi Salim A.²,Alahyane Mohamed³

Affiliation:

1. Department of Mathematics, University Batna-2, 05000 Batna, Algeria

2. Department of Mathematics, University of Sharjah, P. O. Box 27272 Sharjah, United Arab Emirates

3. Department of Mathematics, MIA Laboratory, La Rochelle University, 17000 La Rochelle, France

Abstract

In this paper, we consider a coupled system of two biharmonic equations with damping and source terms of variable-exponent nonlinearities, supplemented with initial and mixed boundary conditions. We establish an existence and uniqueness result of a weak solution, under suitable assumptions on the variable exponents. Then, we show that solutions with negative-initial energy blow up in finite time. To illustrate our theoritical findings, we present two numerical examples.

Publisher

IOS Press

Subject

General Mathematics

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