BOUHOUFANI, OULIA (2021) Existence and Asymptotic Behavior of Solutions of Certain Hyperbolic Coupled Systems with Variable Exponents. Doctoral thesis, Université de Batna 2.
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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.
| Item Type: | Thesis (Doctoral) |
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| Subjects: | Mathématiques |
| Divisions: | Faculté des mathématiques et de l'informatique > Département des mathématiques |
| Date Deposited: | 06 Jul 2021 10:07 |
| Last Modified: | 06 Jul 2021 10:07 |
| URI: | http://eprints.univ-batna2.dz/id/eprint/1931 |
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