Existence and Asymptotic Behavior of Solutions of Certain Hyperbolic Coupled Systems with Variable Exponents. Doctorat thesis, (2021) Université de Batna 2. [img] Text these 5.pdf Download (3MB) | Prévisualisation
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Date
2021-07-06
Authors
BOUHOUFANI, OULIA
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Abstract
In this thesis, we consider two kind of coupled systems of nonlinear hyperbolic equations with variable-exponents. Under suitable assumptions on the initial data and the variable exponents, we establish several results concerning the local existence, the global existence, the finite-time blow up as well as the decay of the solution. These results are obtained by the Faedo-Galerkin approximations, the stable-set method, the energy approach and the mulitiplier method. In addition, we illustrate our theoretical findings by presenting some numericals tests.