8 papers
Pushing the Primordial Frontier: Cosmological Collider Signatures at Strong Mixing
Javier Huenupi, Claudio Muñoz, Gonzalo A. Palma +1
We develop an analytic treatment of primordial non-Gaussianity in multifield inflation that is nonperturbative in the constant curvature--isocurvature mixing strength . Using ex…
Pushing the Primordial Frontier: Exact Linear Solutions in Multifield Inflation
Javier Huenupi, Claudio Muñoz, Gonzalo A. Palma +1
We present exact analytic solutions for the linear dynamics of a two-field inflationary system in which the primordial curvature perturbation is coupled to an isocurvature pert…
Decay of solutions of nonlinear Dirac equations: the 2D case
Sebastian Herr, Christopher Maulén, Claudio Muñoz
We study the long-time behavior of small solutions for a broad class of 2D Dirac-type equations with suitable nonlinearities. First, we prove that for nonlinearities with power $p\…
On the asymptotic dynamics for the -supercritical gKDV equation
Ricardo Freire, Claudio Muñoz
We study the -supercritical generalized Korteweg-de Vries equation (gKdV) with nonlinearities . While local well-posedness in is classical, the long-time dynamics i…
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 \…
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…
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…
Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordström black hole
Ignacio Acevedo, Claudio Muñoz
Considered in this work is the Yang-Mills field in an extremal Reissner-Nordström black hole, a physically motivated mathematical model introduced by Bizoń and Kahl. The kink is a…