IPSO - 2014 - Annual activity report

IPSO

IPSO - 2014

Project-Team Ipso

Members

Overall Objectives

Research Program

Application Domains

New Results

Highlights of the Year
Multi-revolution composition methods for highly oscillatory differential equations
Multiscale schemes for the BGK-Vlasov-Poisson system in the quasi-neutral and fluid limits. Stability analysis and first order schemes
Asymptotic preserving scheme for a kinetic model describing incompressible fluids
Comparison of numerical solvers for anisotropic diffusion equations arising in plasma physics
Asymptotic-Preserving scheme based on a Finite Volume/Particle-In-Cell coupling for Boltzmann- BGK-like equations in the diffusion scaling
Hamiltonian splitting for the Vlasov-Maxwell equations
A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media
Charge conserving grid based methods for the Vlasov-Maxwell equations
Improving conservation properties of a 5D gyrokinetic semi-Lagrangian code
Simulations of Kinetic Electrostatic Electron Nonlinear (KEEN) Waves with Variable Velocity Resolution Grids and High-Order Time-Splitting
Gyroaverage operator on polar mesh
A new fully two-dimensional conservative semi-Lagrangian method: applications on polar grids, from diocotron instability to ITG turbulence
Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations
Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit
Models of dark matter halos based on statistical mechanics: II. The fermionic King model
Models of dark matter halos based on statistical mechanics: I. The classical King model
Analysis of models for quantum transport of electrons in graphene layers
Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime
Superconvergence of Strang splitting for NLS in $T^{d}$
Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve
The fermionic King model
Landau damping in Sobolev spaces for the Vlasov-HMF model
Collisions of vortex filament pairs
Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime
Analysis of a large number of Markov chains competing for transitions
Coexistence phenomena and global bifurcation structure in a chemostat-like model with species-dependent diffusion rates
Global behavior of N competing species with strong diffusion: diffusion leads to exclusion
Randomized Message-Passing Test-and-Set
Existence of densities for the 3D Navier–Stokes equations driven by Gaussian noise
Diffusion limit for the radiative transfer equation perturbed by a Markovian process
Diffusion limit for the radiative transfer equation perturbed by a Wiener process

Partnerships and Cooperations

Dissemination

Bibliography

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Section: New Results

Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime

The work [44] deals with the problem of dimension reduction for the three dimensional Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate confined in a strongly anisotropic harmonic trap. Since the gas is assumed to be in a strong interaction regime, we have to analyze two combined singular limits: a semi-classical limit in the transport direction and the strong partial confinement limit in the transversal direction.

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