Dynamics of Partial Differential Equations

Volume 5 (2008)

Number 2

Location and phase segregation of ground and excited states for 2D Gross–Pitaevskii systems

Pages: 117 – 137

DOI: https://dx.doi.org/10.4310/DPDE.2008.v5.n2.a2


Marco Caliari (Dipartimento di Informatica, Università di Verona, Italy)

Marco Squassina (Dipartimento di Informatica, Università di Verona, Italy)


We consider a system of Gross–Pitaevskii equations in R² modelling a mixture of two Bose–Einstein condensates with repulsive interaction. We aim to study the qualitative behaviour of ground and excited state solutions. We allow two different harmonic and off-centered trapping potentials and study the spatial patterns of the solutions within the Thomas–Fermi approximation as well as phase segregation phenomena within the large-interaction regime.


Gross–Pitaevskii equations, Bose–Einstein binary condensates, ground states, location of solutions, phase-segregation of solutions

2010 Mathematics Subject Classification

Primary 35B40, 35Q55. Secondary 81V05, 81V45.

Published 1 January 2008