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Global well-posedness of 2D generalized MHD equations with fractional diffusion

✍ Scribed by Wei, Zhiqiang; Zhu, Weiyi

Book ID: 125396789
Publisher: Hindawi Publishing Corporation
Year: 2013
Tongue: English
Weight: 166 KB
Volume: 2013
Category: Article
ISSN: 1025-5834
DOI: 10.1186/1029-242X-2013-489

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## Abstract We study the (__W__^α, __p__^, __L__^__p__^)‐mild well‐posedness of the equation with fractional derivative __D__^α^__u__(__t__) = __Au__(__t__) + __f__(__t__), 0 ≤ __t__ ≤ 2π, where __A__ is a closed operator in a Banach space __X__, α > 0, 1 ≤ __p__ < ∞ and __D__^α^ is the fractional