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arXiv · 1407.6147

Vanishing dielectric constant regime for the Navier Stokes Maxwell equations

Donatella Donatelli·Stefano Spirito
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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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Donatella Donatelli, Stefano Spirito. 2014-07-23. Vanishing dielectric constant regime for the Navier Stokes Maxwell equations. https://doi.org/10.1007/s00030-016-0378-x

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