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math.AP2025
Decay of solutions of nonlinear Dirac equations
Sebastian Herr, Christopher Maulén, Claudio Muñoz
We study the long-time behavior of small and large solutions to a broad class of nonlinear Dirac-type equations. Our results are classified in 1D massless and massive cases, 3D gen…
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…