Electron. J. Diff. Eqns., Vol. 2008(2008), No. 79, pp. 1-15.

Spatial patterns for the three species Gross-Pitaevskii system in the plane

Marco Caliari, Marco Squassina

Abstract:
In this paper we highlight some particular spatial patterns of ground state solutions for the three species Gross-Pitaevskii system in the plane having physical coefficients with particular attention to the cases where the inter-species coefficients become large. The solutions models least energy stationary states of a mixture of three Bose-Einstein condensates.

Submitted March 14, 2008. Published May 28, 2008.
Math Subject Classifications: 35B40, 35Q55, 81V05, 81V45.
Key Words: Mixtures of Bose-Einstein condensates; spatial segregation; Gross-Pitaevskii vector equation; ground state solutions; Thomas-Fermi approximation.

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Marco Caliari
Dipartimento di Informatica, Università di Verona
Cà Vignal 2, Strada Le Grazie 15, 37134 Verona, Italy
email: marco.caliari@univr.it
Marco Squassina
Dipartimento di Informatica, Università di Verona
Cà Vignal 2, Strada Le Grazie 15, 37134 Verona, Italy
email: marco.squassina@univr.it

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