29 citations · 46 across the 7 of their papers we have counts for
8 papers
Mathematical analysis of a Muñoz-Delgado model for cigar-shaped Bose-Einstein condensates
Rolci Cipolatti, Yuri M. Lira, Giovanni L. G. Saisse
In this paper we present mathematical analysis of one-dimensional effective models proposed in [\cite{MunozDelgado}] concerning Bose-Einstein condensates in the presence of harmoni…
Two-species Bose-Einstein condensate in an optical lattice: analytical approximate formulæ
R. Cipolatti, L. Villegas-Lelovsky, M. C. Chung +1
Employing a general variational method and perturbation theory, we derived explicit solutions for the description of one-dimensional two species Bose-Einstein condensates confined…
Damping of Confined Excitations Modes of 1D Condensates in an Optical Lattice
C. Trallero-Giner, Darío G. Santiago-Pérez, Ming-Chiang Chung +2
We study the damping of the collective excitations of Bose-Einstein condensates in a harmonic trap potential loaded in an optical lattice. In the presence of a confining potential…
One-dimension cubic-quintic Gross-Pitaevskii equation in Bose-Einstein condensates in a trap potential
Carlos Trallero-Giner, Rolci Cipolatti
By means of new general variational method we report a direct solution for the quintic self-focusing nonlinearity and cubic-quintic 1D Gross Pitaeskii equation (GPE) in a harmonic…
Numerical simulation of salt migration -- Large deformation in viscoelastic solid bodies
I-Shih Liu, Rolci Cipolatti, Mauro A. Rincon +1
We consider instability of a two layered solid body of a denser material on top of a lighter one. This problem is widely known to geoscientist in sediment-salt migration as salt di…
Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity
Rolci Cipolatti, I-Shih Liu, Mauro A. Rincon
For calculating large deformations in finite elasticity, we have proposed a method of successive linear approximation, by considering the relative descriptional formulation. In thi…
Bose-Einstein condensates in optical lattices: mathematical analysis and analytical approximate formulae
Rolci Cipolatti, Juan López Gondar, Carlos Trallero-Giner
We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical…
Identification of the coefficients in the linear Boltzmann equation by a finite number of boundary measurements
Rolci Cipolatti
In this paper we consider an inverse problem for the time dependent linear Boltzmann equation. It concerns the identification of the coefficients via a finite number of measurement…