4.5 Article

On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects

Journal

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 66, Issue 4, Pages 1695-1706

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s00033-015-0499-9

Keywords

Hall-MHD; Blow-up criterion; Well-posedness

Funding

  1. Zhejiang Innovation Project [T200905]
  2. ZJNSF [R6090109]
  3. NSFC [11171154]
  4. National Research Foundation of Korea [2013R1A1A2009675] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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In this paper, we prove some regularity criteria and the local well-posedness of strong solutions to the magnetohydrodynamics with the Hall and ion-slip effects. We also establish global existence and time decay rate for small data.

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