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Well-posedness for the Incompressible Hall-MHD Equations in Low Regularity Spaces

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In this paper, we first establish the local well-posedness of strong solutions to the Cauchy problem of the incompressible viscous resistive Hall-MHD equations in $$H^s(\mathbb {R}^3)$$Hs(R3)$$(\frac{3}{2}< s\le \frac{5}{2})$$(32 Click to show full abstract

In this paper, we first establish the local well-posedness of strong solutions to the Cauchy problem of the incompressible viscous resistive Hall-MHD equations in $$H^s(\mathbb {R}^3)$$Hs(R3)$$(\frac{3}{2}< s\le \frac{5}{2})$$(32

Keywords: well posedness; mhd equations; posedness incompressible; hall mhd

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2018

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