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

Author

Bouhoufani, Oulia, Messaoudi, Salim A., and Alahyane, Mohamed

Subjects
*BIHARMONIC equations, *EXPONENTS
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. [ABSTRACT FROM AUTHOR]

Published
2024
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