New Challenges in Mathematical Modelling and Numerical Simulation of Superfluids
June 27 – July 1, 2016
Research in superfluidity (including Bose-Einstein Condensation, superfluid Helium and supraconductors) has a rapidly growing dynamics in Physics, motivated by applications which may lead to a new technology revolution. In parallel, mathematical studies related to these models (nonlinear Schrödinger equation, Gross-Pitaevskii equation, Ginzburg-Landau equation) have known a dramatic development, associated with rigorous mathematical theories and advanced numerical methods.

The goal of this conference is to bring together physicists and mathematicians whose expertise in this field is renowned, thus easing the interdisciplinary communication and allowing some future collaborations.

This conference will also be the opportunity to present the results obtained in the framework of the BECASIM ANR project, whose goal is to establish a new state of the art in the field of numerical methods and high performance computing in the simulation of Bose-Einstein Condensation. As the conference takes place during the final year of the project, this will be the opportunity to present the mathematical models, the numerical methods, parallel computing codes, so they can be shared with physicists, and to make plans on future research. 

Scientific & Organizing Committee

Weizhu Bao (National University of Singapore)
Rémi Carles (Université de Montpellier)
Ionut Danaila (Université de Rouen)


Solitons in a superfluid Fermi gas

GPELab, an open source Matlab toolbox for the numerical simulation of Gross-Pitaevskii equations

Quantized vortex stability and dynamics in superfluidity and superconductivity

Classical and non-classical flows of superfluids

Polariton graph simulators

High-order numerical schemes for computing the dynamics of nonlinear Schrödinger equation

Helicity, topology and Kelvin waves in reconnecting quantum knots

  • Yongyong Cai (Purdue University and Beijing Computational Science Research Center)

Ground states and dynamics of spin-orbit-coupled Bose-Einstein condensates

Time splitting methods and the semi-classical limit

Counterflowing superfluids

An overview of the BECASIM project: open source numerical simulators for the Gross-Pitaevskii equation

Inhomogeneities and temperature effects in Bose-Einstein condensates

Nonlocal models and their numerical discretization

Three-dimensional vortex structures in a rotating dipolar Bose-Einstein condensate

Symmetries and dynamics in a quantum-chaotic system

Plasmonics in layered superconductors

Nearly parallel vortex filaments in the 3d Gunzburg-Landau equations

Quantum nature and statistical law in quantum turbulence

Superfluidity and Bogoliubov theory: rigorous derivation for mean-field many-body systems

A hybrid code for solving the Gross-Pitaevskii equation

On Some Variational Optimization Problems in Classical Fluids and Superfluids

Quantum Fluid Mixtures: Modelling Phase Separation & Dynamics of Atomic Bose-Einstein Condensates

Young measures for homogenization of phase transition models

Leapfrogging for the axisymmetric Gross-Pitaevskii equation

Order parameter fluctuations in the holographic superconductor

Numerical methods on simulating dynamics of the nonlinear Schrödinger equation  with rotation and/or nonlocal interactions

High-order Magnus integrators for non-autonomous linear evolution equations

Inhomogeneous quantum turbulence in a channel

An efficient splitting Fourier pseudospectral method for Vlasov-Poisson-Fokker-Planck system

Fractional Schrödinger equa
tion: stationary states and dynamics