From the Vlasov-Maxwell-Boltzmann system to incompressible viscous electro-magneto-hydrodynamics
Diogo Ars\'enio, Laure Saint-Raymond
TL;DR
This paper investigates the transition from the Vlasov-Maxwell-Boltzmann system to incompressible viscous electro-magneto-hydrodynamics, providing a rigorous mathematical framework for understanding this hydrodynamic limit.
Contribution
It establishes the hydrodynamic limit of the Vlasov-Maxwell-Boltzmann system to incompressible viscous electro-magneto-hydrodynamics for one and two particle species.
Findings
Derived the hydrodynamic limit equations.
Proved convergence in the viscous incompressible regime.
Extended results to multi-species systems.
Abstract
We treat hydrodynamic limits of the Vlasov-Maxwell-Boltzmann system for one and two species of particles in a viscous incompressible regime.
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Taxonomy
TopicsFluid Dynamics and Turbulent Flows · Particle Dynamics in Fluid Flows · Lattice Boltzmann Simulation Studies