1 citations · 1 across the 3 of their papers we have counts for
6 papers
Curve-Supported Concentrations of Vortices and Screw Dislocations Subject to Confinement
Carlos Garc\'ıa-Azpeitia, Thomas Hudson
We study the concentration of logarithmically interacting defects, such as Ginzburg--Landau vortices and screw dislocations, on closed curves in two dimensions, subject to a confin…
Global Bifurcation In Four-Component Bose-Einstein Condensates In Space
Carlos García-Azpeitia, Anna Gołȩbiewska, Wieslaw Krawcewicz +1
We study a system of coupled Gross--Pitaevskii equations modelling a four-component Bose--Einstein condensate on the unit ball in R^3. The system possesses a branch of spatially ho…
Computer-Assisted Proofs of Gap Solitons in Bose-Einstein Condensates
Miguel Ayala, Carlos García-Azpeitia, Jean-Philippe Lessard
We provide a framework for turning a numerical simulation of a gap soliton in the one-dimensional Gross-Pitaevskii equation into a rigorous mathematical proof of its existence. The…
Symmetric periodic solutions in the generalized Sitnikov Problem with homotopy methods
Carlos Barrera-Anzaldo, Carlos García-Azpeitia
The paper investigates a generalization of the classical Sitnikov problem, concentrating on the movement of a satellite along the Z-axis as it interacts with primary bodies in…
From the Lagrange Triangle to the Figure Eight Choreography: Proof of Marchal's Conjecture
Renato Calleja, Carlos García-Azpeitia, Olivier Hénot +2
For the three body problem with equal masses, we prove that the most symmetric continuation class of Lagrange's equilateral triangle solution, also referred to as the fami…
Determination of stable branches of relative equilibria of the -vortex problem on the sphere
Kevin Constantineau, Carlos García-Azpeitia, Luis C García-Naranjo +1
We consider the -vortex problem on the sphere assuming that all vorticities have equal strength. We investigate relative equilibria (RE) consisting of latitudinal rings whic…