Claudio Muñoz

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math.AP2025

On the asymptotic dynamics for the $L^{2}$ -supercritical gKDV equation

Ricardo Freire, Claudio Muñoz

We study the $L^{2}$ -supercritical generalized Korteweg-de Vries equation (gKdV) with nonlinearities $p > 5$ . While local well-posedness in $H^{1}$ 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 $ab c d$ Boussinesq system, introduced by Bona, Chen, and Saut, describes a four-parameter $(a, b, c, d)$ 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 $1 < p < 5$ and data in the energy space $H^{1} \times L^{2}$ . This model has so…

On the asymptotic dynamics for the L2-supercritical gKDV equation

Decay of small energy solutions in the ABCD Boussinesq model under the influence of an uneven bottom

On asymptotic stability of stable Good Boussinesq solitary waves

On the asymptotic dynamics for the $L^{2}$ -supercritical gKDV equation