In this paper we rigorously justify the convergence of smooth solutions of the Navier-Stokes-Maxwell equations towards smooth solutions of the classical 2D parabolic MHD equations in the case of vanishing dielectric constant. The result is achieved by means of higher-order energy estimates.

Vanishing dielectric constant regime for the Navier Stokes Maxwell equations

DONATELLI, DONATELLA;SPIRITO, STEFANO
2016

Abstract

In this paper we rigorously justify the convergence of smooth solutions of the Navier-Stokes-Maxwell equations towards smooth solutions of the classical 2D parabolic MHD equations in the case of vanishing dielectric constant. The result is achieved by means of higher-order energy estimates.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/111477
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