Derivation of ohm's law from the kinetic equations

Juhi Jang; Nader Masmoudi

doi:10.1137/120864027

Derivation of ohm's law from the kinetic equations

Research output: Contribution to journal › Article › peer-review

Abstract

The goal of this article is to give a formal derivation of Ohm's law of magnetohydrodynamics (MHD) starting from the Vlasov-Maxwell-Boltzmann system. The derivation is based on various physical scalings and the moment methods when the Knudsen number goes to zero. We also give a derivation of the so-called Hall effect as well as other limit models such as the Navier-Stokes- Maxwell system. Our results include both the compressible and incompressible MHD models.

Original language	English (US)
Pages (from-to)	3649-3669
Number of pages	21
Journal	SIAM Journal on Mathematical Analysis
Volume	44
Issue number	5
DOIs	https://doi.org/10.1137/120864027
State	Published - 2012

Keywords

Hall effect
Hydrodynamic limit
Magnetohydrodynamics
Ohm's law
Vlasov-Maxwell-Boltzmann system

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/120864027

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AB - The goal of this article is to give a formal derivation of Ohm's law of magnetohydrodynamics (MHD) starting from the Vlasov-Maxwell-Boltzmann system. The derivation is based on various physical scalings and the moment methods when the Knudsen number goes to zero. We also give a derivation of the so-called Hall effect as well as other limit models such as the Navier-Stokes- Maxwell system. Our results include both the compressible and incompressible MHD models.

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Derivation of ohm's law from the kinetic equations

Abstract

Keywords

ASJC Scopus subject areas

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