6 citations · 7 across the 7 of their papers we have counts for
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Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom
André de Laire, Olivier Goubet, María Eugenia Martínez +2
The Boussinesq system is a 4-parameter set of equations posed in , originally derived by Bona, Chen and Saut as first-order 2-wave approximatio…
A note on two Collatz evolution flows
Francisco Alegría, Matías Morales, Claudio Muñoz +1
Two evolution models based on the generalized Collatz operator are introduced. These models are characterized by coefficients and in the Collatz dynamics, and are suitably…
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 \…
On uniqueness of KP soliton structures
Francisco Alegría, Gong Chen, Claudio Muñoz +2
We consider the Kadomtsev-Petviashvili II (KP) model placed in , in the case of smooth data that are not necessarily in a Sobolev space. In th…
Uniqueness of quasimonochromatic breathers for the generalized Korteweg-de Vries and Zakharov-Kuznetsov models
Jorge Faya, Pablo Figueroa, Claudio Muñoz +1
Consider the generalized Korteweg-de Vries (gKdV) equations with power nonlinearities in dimension , and the Zakharov-Kuznetsov (ZK) model with integer power n…
The Generalized Riemann Zeta heat flow
Víctor Castillo, Claudio Muñoz, Felipe Poblete +1
We consider the PDE flow associated to Riemann zeta and general Dirichlet -functions. These are models characterized by nonlinearities appearing in classical number theory probl…