PDE models for quantum fluids
KITW03
13 December 2010 to 17 December 2010
Workshop theme
Quantum fluid modelling has attracted a lot of recent attention, mainly due to the exiting experimental discoveries in Bose-Einstein condensation of the last decade which may have possible applications in quantum computing. Typically, modelling is based on nonlinear Schrodinger equations, like the cubically nonlinear Gross-Pitaevskii equation describing the evolution of Bose-Einstein condensates. Topics of interest include vortex dynamics and vortex pattern, mixing of scales in random phase approximations (related to turbulence theory), lattice condensates and multi-component condensates modelled by coupled systems of nonlinear Schrodinger equations. Kinetic equations, relying mainly on the Wigner transformation, can also be applied to quantum fluid dynamics. Recently hybrid kinetic-quantum mechanical models, coupling the Gross-Pitaevskii equation to the boson Boltzmann equation also have become a topic of strong interest. Many deep and open mathematical problems arise in connection with the boson Boltzmann equation in the spatially inhomogeneous case, due to the weak growth of the entropy functional which may even permit the occurence of singularities in finite time. New efficient numerical methods for quantum Boltzmann equations, and their validity in the quantum hydrodynamic regimes, accurate simulations crossing the regimes from the Gross-Pitaevski equation to the quantum Boltzmann equations, efficient Bloch decomposition based numerical methods for quantum dynamics in periodic and random media, are also important research directions to be pursued in this programme.
Timetable
| Monday 13th December 2010 | |||
|---|---|---|---|
| 09:00 to 09:55 | No Room Required | ||
| 09:55 to 10:00 | No Room Required | ||
| 10:00 to 11:00 |
Shi Jin University of Wisconsin-Madison |
Room 1 | 
|
| 11:00 to 11:30 | No Room Required | ||
| 11:30 to 12:30 |
Thierry Paul Centre de Physique Théorique de l’Ecole Polytechnique (CPHT) |
Room 1 |
|
| 12:30 to 13:30 | No Room Required | ||
| 14:00 to 15:00 |
Jean Dolbeault CNRS & Université Paris-Dauphine |
Room 1 |
|
| 15:00 to 15:30 | No Room Required | ||
| 15:30 to 16:30 |
Radjesvarane Alexandre Shanghai Jiao Tong University |
Room 1 |
|
| 16:30 to 17:30 |
Zhongyi Huang Tsinghua University |
Room 1 |
|
| 17:30 to 18:30 | No Room Required | ||
| 18:45 to 19:30 | No Room Required | ||
| Tuesday 14th December 2010 | |||
|---|---|---|---|
| 09:00 to 10:00 |
Weizhu Bao National University of Singapore |
Room 1 |
|
| 10:00 to 11:00 |
Robert Lie Peking University |
Room 1 |
|
| 11:00 to 11:30 | No Room Required | ||
| 11:30 to 12:30 |
Ansgar Juengel Technische Universität Wien |
Room 1 |
|
| 12:30 to 13:30 | No Room Required | ||
| 14:00 to 15:00 |
Florian Méhats Université de Rennes 1 |
Room 1 |
|
| 15:00 to 15:30 | No Room Required | ||
| 15:30 to 16:30 |
Chunxiong Zheng Tsinghua University |
Room 1 |
|
| 18:45 to 19:30 | No Room Required | ||
| Wednesday 15th December 2010 | |||
|---|---|---|---|
| 09:00 to 10:00 |
Caroline Lasser Technische Universität München |
Room 1 |
|
| 10:00 to 11:00 |
Gadi Fibich Tel Aviv University |
Room 1 |
|
| 11:00 to 11:30 | No Room Required | ||
| 11:30 to 12:30 |
Hao Wu Université Paul Sabatier Toulouse III |
Room 1 |
|
| 12:30 to 13:30 | No Room Required | ||
| 14:00 to 15:00 |
Remi Carles CNRS (Centre national de la recherche scientifique) |
Room 1 |
|
| 15:00 to 15:30 | No Room Required | ||
| 15:30 to 16:30 | Room 1 | ||
| 18:45 to 19:30 | No Room Required | ||
| Thursday 16th December 2010 | |||
|---|---|---|---|
| 09:00 to 10:00 |
Christof Sparber University of Illinois at Chicago |
Room 1 |
|
| 10:00 to 11:00 |
A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime |
Room 1 |
|
| 11:00 to 11:30 | No Room Required | ||
| 11:30 to 12:30 |
Paolo Antonelli University of Cambridge |
Room 1 |
|
| 12:30 to 13:30 | No Room Required | ||
| 14:00 to 15:00 |
Rada-Maria Weishaeupl Technische Universität Wien |
Room 1 |
|
| 15:00 to 15:30 | No Room Required | ||
| 15:30 to 16:30 |
Christian Klein Université de Bourgogne |
Room 1 | |
| 19:30 to 22:00 | No Room Required | ||
| Friday 17th December 2010 | |||
|---|---|---|---|
| 09:00 to 10:00 |
Jean-Claude Saut Université Paris Saclay |
Room 1 |
|
| 10:00 to 11:00 |
Natalia Berloff University of Cambridge |
Room 1 |
|
| 11:00 to 11:30 | No Room Required | ||
| 11:30 to 12:30 |
Michael Hintermüller Humboldt-Universität zu Berlin |
Room 1 |
|
| 12:30 to 13:30 | No Room Required | ||
| 18:45 to 19:30 | No Room Required | ||
Speakers
- Radjesvarane Alexandre Shanghai Jiao Tong University
- Paolo Antonelli University of Cambridge
- Weizhu Bao National University of Singapore
- Natalia Berloff University of Cambridge
- Remi Carles CNRS (Centre national de la recherche scientifique)
- Jean Dolbeault CNRS & Université Paris-Dauphine
- Gadi Fibich Tel Aviv University
- Michael Hintermüller Humboldt-Universität zu Berlin
- Zhongyi Huang Tsinghua University
- Shi Jin University of Wisconsin-Madison
- Ansgar Juengel Technische Universität Wien
- Christian Klein
- Caroline Lasser Freie Universität Berlin
- Robert Lie Peking University
- Florian Méhats Université de Rennes 1
- Thierry Paul Centre de Physique Théorique de l’Ecole Polytechnique (CPHT)
- Jean-Claude Saut Université Paris Saclay
- Christof Sparber
- Rada-Maria Weishaeupl Technische Universität Wien
- Hao Wu Université Paul Sabatier Toulouse III
- Chunxiong Zheng Tsinghua University
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