Stationary and Time Dependent Gross-Pitaevskii Equations (2006)

Organizers: Alberto Farina (CNRS Pauli, UPJV), Jean- Claude Saut (Orsay), Peter Markowich (WPI)

The Thematic Program will focus on the study of Gross-Pitaevskii equations, modelling superfluids at a temperature near zero and Bose-Einstein condensates, from the viewpoints of theory and applications. The Gross-Pitaevskii equations are nonlinear Scrhödinger equations (often) supplemented with non-standard boundary conditions at infinity. In the last decades, they have received much attention by the physicists community. Physical experiments, simulations and formal studies suggest the existence of special families of solutions (solitary waves) whose knowledge would enable us to understand the long time dynamics of general solutions and also to model various observed nonlinear phenomena such as the apparition of vortices in superfluids and analyse their dynamics. Due to the physical relevance of the considered models and to their applications it is of great importance to study, from a rigourous mathematical point of view, the problems of existence/non-existence of such a kind of solutions as well as their qualitative properties. It is the purpose of the proposed Thematic Program to bring together scientists from different research areas (mathematical and numerical analysis, mathematical physics) in order to stimulate interdisciplinary contacts, to solve open problems and to train young researchers.

Events

Workshop "Modern Applications of Gross-Pitaevskii equations: The Bose-Einstein Condensation"
Location: Location: WPI Nordbergstrasse 15 Time: 6. Nov 2006 (Mon) - 9. Nov 2006 (Thu); Opening: 14:00
Organisation(s) WPI / Inst. CNRS Pauli Organiser(s) Alberto Farina (Inst. CNRS Pauli-WPI and U. Picardie, Amiens) Jean-Claude Saut (U. Paris-Sud, Orsay) Peter Markowich (WPI and U. Wien)
Remark: Contact: Alberto Farina alberto.farina@u-picardie.fr

Summer School on " Gross-Pitaevskii equations for superfluids and Bose-Einstein condensates "
Location: WPI seminar room C714 Time: 18. Sep 2006 (Mon) - 22. Sep 2006 (Fri); Opening: 9:00
Topics: Program
Organisation(s) WPI / Inst. CNRS Pauli Organiser(s) Alberto Farina (Inst. CNRS Pauli-WPI and U. Picardie, Amiens) Jean-Claude Saut (U. Paris-Sud, Orsay) Peter Markowich (WPI and U. Wien)
Remark: Lecture series recommended for WK students Contact : Alberto Farina alberto.farina@u-picardie.fr

Nonlinear PDEs: Homogenization and Kinetic Equations
Location: Kreisky Forum, Armbrustergasse 15, 1190 Vienna Time: 26. Jun 2006 (Mon) - 30. Jun 2006 (Fri); Opening: 9:00
Organisation(s) Wittgenstein Award Peter Markowich WPI Organiser(s) Jose A.Carrillo, Barcelona Thierry Goudon, Lille Peter Markowich, Vienna Giuseppe Toscani, Pavia
Remark: Contact: Dr. Renate Feikes Wittgenstein.mathematik@univie.ac.at Program

Workshop " The Gross-Pitaevskii and related equations with non-zero boundary conditions at infinity "
Location: WPI Nordbergstrasse 15. Time: 12. Jun 2006 (Mon) - 14. Jun 2006 (Wed); Opening: 9:30
Topics: Confirmed Speakers : W. Bao, F. Bethuel, N. Berloff, M. Brachet, D. Chiron, L. Di Menza, C. Gallo O. Goubet, P. Gravejat, R. Jerrard, M. Maris, K. Nakanishi, D. Pelinovsky.
Organisation(s) WPI / Inst. CNRS Pauli Organiser(s) Alberto Farina (Inst. CNRS Pauli-WPI and U.Picardie, Amiens) Jean-Claude Saut (U. Paris-Sud, Orsay) Peter Markowich (WPI c/o U.Wien)
Remark: Contact: Alberto Farina (alberto.farina@u-picardie.fr) Program

Talks in the framework of this thematic program... (by date) , (by name)

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