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Browsing by Author "Bentata, Fatima Ezahra"

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    Existence of solutions for a Kirchhoff hyperbolic problems in bounded domains
    (University Echahid Cheikh Larbi Tebessi- Tebessa-, 2025-12-11) Bentata, Fatima Ezahra
    This study is dedicated to investigating the existence of weak solutions for hyperbolic Kirchhoff-type problems, considering cases both with and without volume constraints and free boundaries. We employ the hyperbolic discrete Morse flow, which transforms the original problem into a sequence of mini- mization problems defined at discrete time intervals. This process ensures the existence of a minimizer for the discretized functional, which corresponds to the solution of the discretized problem and subsequently provides a weak so- lution to the original problem. The non-local terms arising from the Kirchhoff component, volume constraint, and free boundary condition present significant challenges that require innovative methods to tackle. These complexities are a key focus of our research. Furthermore, we present numerical simulations to better illustrate our results’ physical implications.