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math.AP2024
On steady solutions of the Hall-MHD system in Besov spaces
Jin Tan, Hiroyuki Tsurumi, Xin Zhang
In this paper, we investigate the well-posedness and ill-posedness issues for the incompressible stationary Hall-magnetohydrodynamic (Hall-MHD) system in We first s…
math.AP2016★ 2 cited
On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations
Raphaël Danchin, Xin Zhang
In our recent work dedicated to the Boussinesq equations [Danchin and Zhang 2016], we established the persistence of solutions with piecewise constant temperature along interfaces…