论文信息 - Well‐posedness for the incompressible magneto‐hydrodynamic system

Well‐posedness for the incompressible magneto‐hydrodynamic system

This paper is concerned with well-posedness of the incompressible magneto-hydrodynamics (MHD) system. In particular, we prove the existence of a global mild solution in BMO−1 for small data which is also unique in the space C([0, ∞); BMO−1). We also establish the existence of a local mild solution in bmo−1 for small data and its uniqueness in C([0, T); bmo−1). In establishing our results an important role is played by the continuity of the bilinear form which was proved previously by Kock and Tataru. In this paper, we give a new proof of this result by using the weighted Lp-boundedness of the maximal function. Copyright © 2006 John Wiley & Sons, Ltd.

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