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      Global regularity of the two-dimensional regularized MHD equations

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          Abstract

          In this paper, we consider the Cauchy problem of the two-dimensional regularized incompressible magnetohydrodynamics equations. The main objective of this paper is to establish the global regularity of classical solutions of the magnetohydrodynamics equations with the minimal dissipation. Consequently, our results significantly improve the previous works.

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          Commutator estimates and the euler and navier-stokes equations

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            Fractional Quantum Mechanics and Levy Path Integrals

            The fractional quantum and statistical mechanics have been developed via new path integrals approach.
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              The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations

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                Author and article information

                Journal
                11 July 2018
                Article
                1807.04174
                409989ea-eaab-486c-8cb2-6480a43b0fe6

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                35Q35, 35B65, 76D03
                submitted on 20 June 2018, 39 pages
                math.AP

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