Vanishing dielectric constant regime for the Navier Stokes Maxwell equations |
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| Authors: | Donatella Donatelli Stefano Spirito |
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| Institution: | 1.Departement of Engineering Computer Science and Mathematics,University of L’Aquila,L’Aquila,Italy;2.GSSI - Gran Sasso Science Institute,L’Aquila,Italy |
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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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