3 papers
math.AP2025
On the asymptotic dynamics for the -supercritical gKDV equation
Ricardo Freire, Claudio Muñoz
We study the -supercritical generalized Korteweg-de Vries equation (gKdV) with nonlinearities . While local well-posedness in is classical, the long-time dynamics i…
math.AP2025
Decay of small energy solutions in the ABCD Boussinesq model under the influence of an uneven bottom
Christopher Maulén, Claudio Muñoz, Felipe Poblete
The Boussinesq system, introduced by Bona, Chen, and Saut, describes a four-parameter family of models formulated on the time-space domain $\mathbb{R}_t \times \…
math.AP2025
On asymptotic stability of stable Good Boussinesq solitary waves
Christopher Maulén, Claudio Muñoz
We consider the generalized Good-Boussinesq (GB) model in one dimension, with subcritical power nonlinearity and data in the energy space . This model has so…