Well-Posedness and Long-Time Dynamics of a Water-Waves Model with Time-Varying Boundary Delay
Analysis of PDEs
2025-05-02 v2 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 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.
Keywords
Cite
@article{arxiv.2411.05191,
title = {Well-Posedness and Long-Time Dynamics of a Water-Waves Model with Time-Varying Boundary Delay},
author = {G. Bautista and R. de A. Capistrano--Filho and B. Chentouf and O. Sierra Fonseca},
journal= {arXiv preprint arXiv:2411.05191},
year = {2025}
}
Comments
18 pages. Comments are welcome