The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
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Philadelphia: Society for Industrial and Applied Mathematics
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English
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Philadelphia: Society for Industrial and Applied Mathematics
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This paper examines the global (in time) regularity of classical solutions to the two-dimensional (2D) incompressible magnetohydrodynamics (MHD) equations with only magnetic diffusion. Here the magnetic diffusion is given by the fractional Laplacian operator $(-\Delta)^\beta$. We establish the global regularity for the case when $\beta>1$. This res...
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Full title
The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
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TN_cdi_proquest_journals_1494770656
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_1494770656
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ISSN
0036-1410
E-ISSN
1095-7154
DOI
10.1137/130937718