On the Well-Posedness for the Incompressible Hall-Magnetohydrodynamic System in Critical Fourier-Besov-Morrey Spaces

Abstract

In this work, we establish the local well-posedness of the incompressible Hall- magnetohydrodynamic system in critical framework Fourier-Besov-Morrey spaces, which can be seen as a complement to the corresponding results of the Hall-magnetohydrodynamics equations in Fourier-Besov spaces.

Keywords: Well-posedness; Hall-magnetohydrodynamic system; Fourier-Besov-Morrey spaces.

2010 Mathematics Subject Classification. 60H15, 76D05, 42B37