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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

Corresponding Author:o.bouhoufani@univ-batna2.dz

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Salim Messaoudi
University of Sharjah
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Mohamed Alahyane
University of Lille
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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.