Hamiltonian fluid closures of the Vlasov equation

CDSNS Colloquium
Monday, December 7, 2015 - 11:00
1 hour (actually 50 minutes)
Skiles 005
Centre de Physique Theorique CNRS Campus de Luminy
Solving numerically kinetic equations requires high computing power and storage capacity, which compels us to derive more tractable, dimensionally reduced models. Here we investigate fluid models derived from kinetic equations, typically the Vlasov equation. These models have a lower numerical cost and are usually more tangible than their kinetic counterpart as they describe the time evolution of quantities such as the density ρ, the fluid velocity u, the pressure p, etc. The reduction procedure naturally leads to the need for a closure of the resulting fluid equations, which can be based on various assumptions. We present here a strategy for building fluid models from kinetic equations while preserving their Hamiltonian structure. Joint work with M. Perin and E. Tassi (CNRS/Aix-Marseille University) and P.J. Morrison (University of Texas at Austin).