Energy-Casimir stability of hybrid Vlasov-MHD models

Energy-Casimir stability of hybrid Vlasov-MHD models

Different variants of hybrid kinetic-fluid models are considered for describing the interaction of a bulk fluid plasma obeying magnetohydrodynamics (MHD) and an energetic component obeying a kinetic theory. Upon using the Vlasov kinetic theory for energetic particles, two planar Vlasov-MHD models are compared in terms of their stability properties. This is made possible by the Hamiltonian struc...

Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian

This paper investigates hybrid kinetic-magnetohydrodynamic (MHD) models, where a hot plasma (governed by a kinetic theory) interacts with a fluid bulk (governed by MHD). Different nonlinear coupling schemes are reviewed, including the pressure-coupling scheme (PCS) used in modern hybrid simulations. This latter scheme suffers from being non-Hamiltonian and is unable to exactly conserve total en...

Translationally symmetric extended MHD via Hamiltonian reduction: Energy-Casimir equilibria

. pl as m - p h ] 1 2 Ju n 20 14 Hybrid Vlasov - MHD models : Hamiltonian vs . non - Hamiltonian

This paper investigates hybrid kinetic-MHD models, where a hot plasma (governed by a kinetic theory) interacts with a fluid bulk (governed by MHD). Different nonlinear coupling schemes are reviewed, including the pressure-coupling scheme (PCS) used in modern hybrid simulations. This latter scheme suffers from being non-Hamiltonian and to not exactly conserve total energy. Upon adopting the Vlas...

Existence of Global Weak Solutions to a Hybrid Vlasov-mhd Model for Magnetized Plasmas

We prove the global-in-time existence of large-data finite-energy weak solutions to an incompressible hybrid Vlasov-magnetohydrodynamic model in three space dimensions. The model couples three essential ingredients of magnetized plasmas: a transport equation for the probability density function, which models energetic rarefied particles of one species; the incompressible Navier–Stokes system fo...