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

Bautista G.J.; Capistrano-Filho R.D.A.; Chentouf B.; Sierra Fonseca O. · Asymptotic Analysis (2026) · DOI: 10.1177/09217134251344395

Resumen

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. © The Author(s) 2026

Instituciones: Universidad Tecnológica de los Andes