Journal
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS
Volume 15, Issue 1, Pages 61-80Publisher
INT PRESS BOSTON, INC
DOI: 10.4310/DPDE.2018.v15.n1.a3
Keywords
Magnetohydrodynamic equations; Magnetic diffusion; Global well-posedness; Yudovich data
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Funding
- National Natural Science Foundation of China [11671045, 11671273]
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In this paper, we first prove the existence and uniqueness of solutions only with magnetic diffusion for the vorticity being Yudovich-type space, by establishing some new time weighted estimates of the magnetic field, which improves the corresponding results of [5] and [16]. Furthermore, we prove a global result on the inviscid limit of the two-dimensional Magnetohydrodynamic equations with data belonging to the Yudovich type.
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