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: Dissemination

Teaching - Supervision - Juries

Teaching

Master 2 lectures: N. Crouseilles, Numerical methods for kinetic equations.
Master 1 lectures: M. Lemou, Theory of distributions, University of Rennes 1 and ENS Cachan (Ker Lann), 24 hours.
Master 2: M. Lemou was the manager of Master 2 courses in "Analysis and Applications", university of Rennes 1.
E. Faou gave a series of lectures on Stochastic methods for PDEs, Heriot-Watt University, Edinburgh, UK, october 2014.
E. Faou gave a series of lectures on Geometric Numerical Integration for PDE, KIT, Karlsruhe, Germany, August 2014.
E. Faou gave a series of lectures on Stochastic computation and on Geometric Numerical Integration for PDE, Chinese Academy of Sciences, Beijing, May 2014
A. Debussche gave a mini-course on Introduction aux EDPS in the school EDP avec conditions aleatoires, Toulouse, April 22-25, 2014.
Licence 3: P. Chartier gave a lecture on ODEs at ENS Rennes, september-december, 24 hours.

Supervision

N. Crouseilles and M. Lemou co-advise H. Hivert's PhD (first year in Rennes university), ENS grant.
N. Crouseilles and M. Lemou co-advise (with R. Raghurama and M. Lemou) A. Ruhi's PhD (third year in IISc), Indian grant.
M. Lemou and F. Méhats co-advised P. Carcaud's PhD: University of Rennes 1. Thesis defense on june 2nd 2014.
P. Chartier and F. Méhats co-supervise the PhD thesis of G. Leboucher.
P. Chartier and F. Castella co-supervise the PhD thesis of J. Sauzeau.
A. Debussche and F. Méhats co-supervise the PhD thesis of M. Tusseau.
E. Faou co-supervises the PhD thesis of R. Horsin.
A. Debussche and E. Faou co-supervised the thesis of M. Kopec, ENS Rennes.

Juries

N. Crouseilles: member of the PHD jury of P. Glanc, 20 january 2014 (Strasbourg); co-advising (with M. Mehrenberger) of Pierre Glanc PhD (Strasbourg University), Inria-Cordi grant.
N. Crouseilles: member of the PHD jury of Ch. Steiner, 11 december 2014 (Strasbourg); co-advising (with M. Mehrenberger) of Christophe Steiner PhD (Strasbourg University), ministry grant.
N. Crouseilles: member of the PHD jury of M. Kuhn, 29 september 2014 (Strasbourg); co-advising (with S. Genaud) of Matthieu Kuhn PhD (Strasbourg University and Inria IPSO), ANR "E2T2" grant.
N. Crouseilles: member of the Master 2 jury of P. Pereira, 26 november 2014 (Lisboa, Portugal).
F. Méhats was referee of the thesis of L. Hari (Cergy, supervised by T. Duyckaerts and C. Fermanian).
F. Méhats was referee of the thesis of X. Zhao (Singapore, supervised by W. Bao).
P. Chartier was referee of the PhD thesis of Philipp Bader, University of Valencia, june.

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