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"Recent progress and perspectives on the Gross-Pitaevskii equation with non zero boundary conditions"

Location: WPI Seminar room C 714 Tue, 28. Sep - Fri, 1. Oct 10
Organisation(s)
WPI 		Organiser(s)
Jean- Claude Saut (U.Paris Sud)
Norbert Mauser (WPI c/o U.Wien)

Talks in the framework of this event


P. Gravejat and J.-C. Saut WPI, Seminarroom C 714 Tue, 28. Sep 10, 14:30
"Introduction and presentation of the workshop"
  • Event: "Recent progress and perspectives on the Gross-Pitaevskii equation with non zero boundary conditions" (2010)

A. De Laire WPI, Seminarroom C 714 Wed, 29. Sep 10, 9:00
"Global well-posedness for a nonlocal Gross-Pitaevskii equation with nonzero boundary conditions at infinity"
  • Event: "Recent progress and perspectives on the Gross-Pitaevskii equation with non zero boundary conditions" (2010)

P. Gravejat WPI, Seminarroom C 714 Wed, 29. Sep 10, 10:15
"The KdV limit of the Gross-Pitaevskii equation"
  • Event: "Recent progress and perspectives on the Gross-Pitaevskii equation with non zero boundary conditions" (2010)

J.-C. Saut WPI, Seminarroom C 714 Wed, 29. Sep 10, 11:15
"Remarks on the KP equation"
  • Event: "Recent progress and perspectives on the Gross-Pitaevskii equation with non zero boundary conditions" (2010)

D. Smets WPI, Seminarroom C 714 Thu, 30. Sep 10, 9:00
"A strong-weak stability result for Schrödinger maps"
  • Event: "Recent progress and perspectives on the Gross-Pitaevskii equation with non zero boundary conditions" (2010)

C. Klein WPI, Seminarroom C 714 Thu, 30. Sep 10, 14:00
"Numerical methods for the semi-classical limit of nonlinear Schrödinger equations"
  • Event: "Recent progress and perspectives on the Gross-Pitaevskii equation with non zero boundary conditions" (2010)

C. Gallo WPI, seminar room C714 Fri, 1. Oct 10, 9:30
"Finite time extinction by nonlinear damping for the Schrödinger equation"
  • Event: "Recent progress and perspectives on the Gross-Pitaevskii equation with non zero boundary conditions" (2010)

Norbert J. Mauser (WPI c/o Univ.Wien) WPI, seminar room C714 Fri, 1. Oct 10, 11:30
Nonlinear Schrodinger equations:
how can mathematicians be really useful for physicists ?!
Modeling and Simulation of Bose-Einstein condensates (BECs)
We scetch key issues of modeling and numerics of NLS like Gross-Pitaevskii equations. We present 3-d simulations of the dynamics of BECs (done in interaction with the Atomchip group at TU Wien) and work out the interplay "physics " - > "mathematical modeling / numerical technique" required for each phase of the experiment, like "switch off trap" -> "switch from homogeneous Dirichlet boundary conditions to absorbing boundary conditions", or "expansion phase" -> "rescaling of the domain", or "free flight" -> "switch to linear Schrödinger equation"...
  • Event: "Recent progress and perspectives on the Gross-Pitaevskii equation with non zero boundary conditions" (2010)

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