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arXiv · 2411.05191

Well-Posedness and Long-Time Dynamics of a Water-Waves Model with Time-Varying Boundary Delay

G. Bautista·R. de A. Capistrano--Filho·B. Chentouf·O. Sierra Fonseca
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Abstract

A higher-order nonlinear Boussinesq system with a time-dependent boundary delay is considered. Sufficient conditions are presented to ensure the well-posedness of the problem by utilizing Kato's variable norm technique and the Fixed-Point Theorem. More significantly, the energy decay for the linearized problem is demonstrated using the energy method.

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G. Bautista, R. de A. Capistrano--Filho, B. Chentouf, O. Sierra Fonseca. 2024-11-07. Well-Posedness and Long-Time Dynamics of a Water-Waves Model with Time-Varying Boundary Delay. https://arxiv.org/abs/2411.05191

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