Felipe Poblete

activity

20172026

most citedScattering in the energy space for Boussinesq equations

20 citations · 27 across the 9 of their papers we have counts for

collaborators

11 papers

math.NT2026

Upper Bounds on the de Bruijn-Newman constant for Dirichlet $L$ -functions with primitive real-valued characters

Ricardo Freire, Cristian González-Riquelme, Claudio Muñoz +2

Let $χ_{m}$ be a primitive real-valued Dirichlet character of conductor $m \geq 3$ , let $L (s) = L (s, χ_{m})$ be the associated Dirichlet $L$ -function, and let $ξ_{L} (s)$ denote its completed f…

math.AP2025

Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom

André de Laire, Olivier Goubet, María Eugenia Martínez +2

The Boussinesq $ab c d$ system is a 4-parameter set of equations posed in $R_{t} \times R_{x}$ , originally derived by Bona, Chen and Saut as first-order 2-wave approximatio…

math.AP2025

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 $α$ and $β$ in the Collatz dynamics, and are suitably…

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.AP2024

On uniqueness of KP soliton structures

Francisco Alegría, Gong Chen, Claudio Muñoz +2

We consider the Kadomtsev-Petviashvili II (KP) model placed in $R_{t} \times R_{x, y}^{2}$ , in the case of smooth data that are not necessarily in a Sobolev space. In th…

math.AP2024

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 $q = 2, 3, 4 \dots$ in dimension $N = 1$ , and the Zakharov-Kuznetsov (ZK) model with integer power n…

math.AP2024

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 $L$ -functions. These are models characterized by nonlinearities appearing in classical number theory probl…

math.AP2021★ 1 cited

Long time asymptotics of large data in the Kadomtsev-Petviashvili models

Argenis J. Mendez, Claudio Muñoz, Felipe Poblete +1

We consider the Kadomtsev-Petviashvili (KP) equations posed on $R^{2}$ . For both equations, we provide sequential in time asymptotic descriptions of solutions, of arbitraril…

math.AP2020

On local energy decay for large solutions of the Zakharov-Kuznetsov equation

Argenis Méndez, Claudio Muñoz, Felipe Poblete +1

We consider the Zakharov-Kutznesov (ZK) equation posed in $R^{d}$ , with $d = 2$ and $3$ . Both equations are globally well-posed in $L^{2} (R^{d})$ . In this paper, we prove l…

math.AP2017★ 6 cited

The scattering problem for the $ab c d$ Boussinesq system in the energy space

Chulkwang Kwak, Claudio Muñoz, Felipe Poblete +1

The Boussinesq $ab c d$ system is a 4-parameter set of equations posed in $R_{t} \times R_{x}$ , originally derived by Bona, Chen and Saut as first order 2-wave approxim…

math.AP2017★ 20 cited

Scattering in the energy space for Boussinesq equations

Claudio Muñoz, Felipe Poblete, Juan C. Pozo

In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq equation must decay to zero as time tends to infinity, strongly on slightly prope…

Upper Bounds on the de Bruijn-Newman constant for Dirichlet L-functions with primitive real-valued characters

Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom

A note on two Collatz evolution flows

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

On uniqueness of KP soliton structures

Uniqueness of quasimonochromatic breathers for the generalized Korteweg-de Vries and Zakharov-Kuznetsov models

The Generalized Riemann Zeta heat flow

Long time asymptotics of large data in the Kadomtsev-Petviashvili models

On local energy decay for large solutions of the Zakharov-Kuznetsov equation

The scattering problem for the abcd Boussinesq system in the energy space

Scattering in the energy space for Boussinesq equations

Upper Bounds on the de Bruijn-Newman constant for Dirichlet $L$ -functions with primitive real-valued characters

The scattering problem for the $ab c d$ Boussinesq system in the energy space