loading page

Exsistence, Blow up and Numerical approximations of Solutions for a Biharmonic Coupled System with Variable exponents
  • Oulia Bouhoufani,
  • Salim Messaoudi,
  • Mohamed Alahyane
Oulia Bouhoufani
Université Batna 2
Author Profile
Salim Messaoudi
University of Sharjah
Author Profile
Mohamed Alahyane
University of Lille
Author Profile

Abstract

In this paper, we consider a coupled system of two biharmonic equations with damping and source terms of variable-exponents 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.