New challenges in mathematical modelling and numerical simulation of superfluids

June 27 - July 1, 2016

The Becasim team has organized in CIRM (Marseille) a one week workshop dedicated to New challenges in mathematical modelling and numerical simulation of superfluids with 29 talks. About 50 participants were present.
The object of this workshop was to share recent results on modelization and simulation of superfluids.

Link to the website of the workshop

Link to the workshop schedule

Monday
9:00 - 9:40
M. Tsubota
Inhomogeneous quantum turbulence in a channel
9:40 - 10:20
F. Chevy
Counterflowing superfluids
11:00 - 11:40
W. Bao
Quantized Vortex Stability and Dynamics in Superfluidity and Superconductivity
11:40 - 12:10
M. Lewin
Superfluidity and Bogoliubov Theory: Rigorous Results
14:00 - 14:40
C. Barenghi
Classical and non-classical flows of superfluids
14:40 - 15:10
M. Antezza
TBA
15:50 - 16:30
D. Smets
On the leapfrogging phenomenon in fluid mechanics

Tuesday
9:00 - 9:20
I. Danaila
An overview of the BECASIM project: open source numerical simulators for the Gross-Pitaevskii equation
9:20 - 9:50
X. Antoine
GPELab: an open source Matlab toolbox for the numerical simulation of Gross-Pitaevskii equations
9:50 - 10:20
Q. Tang
Numerical methods on simulating dynamics of the nonlinear Schrödinger equation with rotation and/or nonlocal interactions
11:00 - 11:40
C. Besse
High order numerical schemes for computing the dynamics of nonlinear Schrödinger equation
11:40 - 12:20
Ph. Parnaudeau
A hybrid code for solving the Gross-Pitaevskii equation
14:00 - 14:40
R. Carles
On time splitting for NLS in the semiclassical regime
14:40 - 15:20
A. De Bouard
Inhomogeneities and temperature effects in Bose-Einstein condensates
15:50 - 16:30
N. Proukakis
Single/Multi-component quantum gases: non-equilibrium models and applications to experiments

Wednesday
9:00 - 9:40
Q. Du
Localization of nonlocal continuum models
9:40 - 10:20
D. Jaksch
Coherent optical manipulation of plasma waves
11:00 - 11:40
B. Protas
On Some Variational Optimization Problems in Classical Fluids and Superfluids
11:40 - 12:20
Y. Cai
Ground states and dynamics for SO coupled Bose-Einstein Condensation

Thursday
9:00 - 9:40
E. Sandier
Two-Scale Gamma-convergence for random non-convex homogenization
9:40 - 10:20
R. Jerrard
Nearly parallel vortex filaments in the Gross-Pitaevskii equation
11:00 - 11:40
J.-C. Garreau
Symmetries and dynamics in a quantum-chaotic system
11:40 - 12:20
M. Thalhammer
High-order commutator-free Magnus integrators for non-autonomous linear evolution equations
14:00 - 14:40
N. Berloff
Quantum simulators on polariton graphs
14:40 - 15:20
Y. Zhang
Fractional Schrödinger equation: stationary states and dynamics
15:50 - 16:30
M.-E. Brachet
Helicity, Topology and Kelvin Waves in reconnecting quantum knots

Friday
9:00 - 9:40
H. Wang
An efficient splitting Fourier pseudospectral method for Vlasov-Poisson-Fokker-Planck system
9:40 - 10:20
M. Kobayashi
Quantum nature and statistical law in quantum turbulence
11:00 - 11:40
A. Gammal
Three-dimensional vortex structures in a rotating dipolar Bose-Einstein condensate