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Dmitry Pelinovsky, McMaster University
BIFURCATIONS OF MULTI-VORTEX CONFIGURATIONS IN ROTATING BOSE-EINSTEIN CONDENSATE
Lunedì 26 Giugno 2017, ore 16:00
Sala di Rappresentanza, Dipartimento di Matematica, Via Saldini 50 |
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Abstract
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Global bifurcations along the family of radially symmetric vortices are analyzed for the Gross-Pitaevskii equation with a symmetric harmonic potential and a chemical potential under the steady rotation. The families are constructed in the small-amplitude limit when the chemical potential is close to an eigenvalue of the Schrodinger operator for a quantum harmonic oscillator. Each bifurcation results in the disappearance of a pair of negative eigenvalues in the Hessian operator at the radially symmetric vortex. The distributions of vortices in the bifurcating families are analyzed by using symmetries of the Gross-Pitaevskii equation and the zeros of Hermite-Gauss eigenfunctions. The vortex configurations that can be found in the bifurcating families are the asymmetric vortex, the asymmetric vortex pair, and the vortex polygons. |
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Frank Morgan, Williams College
The isoperimetric problem
Giovedì 25 Maggio 2017, ore 16:30
Aula Chisini, via Saldini 50 | |
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Laurent Stolovitch, Universite' de Nice Sophia-Antipolis
DYNAMICAL SYSTEMS AND GEOMETRY OF CAUCHY-RIEMANN MANIFOLDS
Martedì 16 Maggio 2017, ore 10:30
Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50 | |
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Frank den Hollander, Leiden University, The Netherlands
Random walks on dynamic random graphs
Mercoledì 10 Maggio 2017, ore 14:30
Aula U5-3014 del Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano-Bicocca | |
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WENDELIN WERNER, ETH Zürich
RANDOM CRACKS IN SPACE
Lunedì 27 Marzo 2017, ore 16:30
Aula Chisini, via Saldini 50 | |
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