111 citations · 399 across the 36 of their papers we have counts for
48 papers
A proof of slow-roll local decay of inflaton fields in cosmology and axion fields in cold dark matter models
Matías Morales, Claudio Muñoz
We consider the long time behavior of solutions to scalar field models appearing in the theory of cosmological inflation (oscillons) and cold dark matter, in presence or absence of…
Asymptotic stability of the fourth order kink for general perturbations in the energy space
Christopher Maulén, Claudio Muñoz
The Fourth order model generalizes the classical model of quantum field theory, sharing the same kink solution. It is also the dispersive counterpart of the well-known…
Global Existence and Long Time Behavior in Einstein-Belinski-Zakharov Soliton Spacetimes
Claudio Muñoz, Jessica Trespalacios
We consider the vacuum Einstein field equations under the Belinski-Zakharov symmetry, which leaves the problem as a 1+1-dimensional quasilinear system of PDEs. Depending on the cho…
The Calderón's problem via DeepONets
Javier Castro, Claudio Muñoz, Nicolás Valenzuela
We consider the Dirichlet-to-Neumann operator and the direct and inverse Calderón's mappings appearing in the Inverse Problem of recovering a smooth bounded and positive isotropic…
Review on long time asymptotics of large data in some nonintegrable dispersive models
Claudio Muñoz
In this short note, we review recent results concerning the long time dynamics of large data solutions to several dispersive models. Starting with the KdV case and ending with the…
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 . For both equations, we provide sequential in time asymptotic descriptions of solutions, of arbitraril…