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Local wellposedness in Sobolev space for the inhomogeneous non-resistive MHD equations on general domain

Weiren Zhao

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Source: Crossref

Published: Aug 30, 2017

DOI: 10.1142/s0219199716500553

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Source abstract

In this paper, we prove the local existence and uniqueness of the solution with discontinuous density for the inhomogeneous non-resistive magnetohydrodynamics (MHD) equations on a [Formula: see text] bounded domain [Formula: see text] or [Formula: see text], if the initial data [Formula: see text] with [Formula: see text] satisfies [Formula: see text].

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Local wellposedness in Sobolev space for the inhomogeneous non-resistive MHD equations on general domain — Mathematical Frontier Network