4 papers
Instability of gray solitons in a Gross-Pitaevskii model with a moving impurity
Paolo Antonelli, Martino Caliaro
The effect of a moving impurity in a dilute Bose-Einstein condensate is investigated by means of the one-dimensional Gross-Pitaevskii model (GP) with non-zero boundary conditions a…
On the Gross-Pitaevskii model with a moving impurity: Cauchy problem and superfluidity criterion
Paolo Antonelli, Martino Caliaro
We study the one-dimensional Gross-Pitaevskii equation with a traveling delta potential and non-zero conditions at infinity. This model describes the effect of a moving impurity in…
Confinement and orbital stability of solitons of the NLS equation on metric graphs
Martino Caliaro, Diego Noja
We study the behavior of soliton states for the subcritical, time-dependent focusing NLS equation on a large family of non-compact metric graphs with Kirchhoff boundary conditions.…
Zeitlin truncation of a Shallow Water Quasi-Geostrophic model for planetary flow
Arnout Franken, Martino Caliaro, Paolo Cifani +1
In this work, we consider a Shallow-Water Quasi Geostrophic equation on the sphere, as a model for global large-scale atmospheric dynamics. This equation, previously studied by Ver…