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Start Over Author "Fonseca, O." Publication Type Reports
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1. Well-Posedness and Long-Time Dynamics of a Water-Waves Model with Time-Varying Boundary Delay

Author

Bautista, G., Capistrano--Filho, R. de A., Chentouf, B., and Fonseca, O. Sierra

Subjects
Mathematics - Analysis of PDEs, Mathematics - Optimization and Control
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, 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., Comment: 17 pages. Comments are welcome

Published
2024

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