2 papers
math.AP2026
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…
math.AP2026
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…