Communications in Mathematical Sciences

Volume 1 (2003)

Number 3

Incompressible Euler and E-MHD as scaling limits of the Vlasov-Maxwell system

Pages: 437 – 447

DOI: http://dx.doi.org/10.4310/CMS.2003.v1.n3.a4

Authors

Yann Brenier

Norbert Mauser

Marjolaine Puel

Abstract

We consider two different asymptotic limits of the Vlasov-Maxwell system describing a quasineutral plasma with a uniform ionic background. In the first case, as the magnetic field is preserved in the limiting process, we obtain the so-called electron magnetohydrodynamics equations. In the second case, we obtain the incompressible Euler equations with no more magnetic field left.

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