Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients

Zujin Zhang; Xian Yang

Annales Polonici Mathematici (2016)

  • Volume: 116, Issue: 1, page 87-99
  • ISSN: 0066-2216

Abstract

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We study the Cauchy problem for the MHD system, and provide two regularity conditions involving horizontal components (or their gradients) in Besov spaces. This improves previous results.

How to cite

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Zujin Zhang, and Xian Yang. "Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients." Annales Polonici Mathematici 116.1 (2016): 87-99. <http://eudml.org/doc/280552>.

@article{ZujinZhang2016,
abstract = {We study the Cauchy problem for the MHD system, and provide two regularity conditions involving horizontal components (or their gradients) in Besov spaces. This improves previous results.},
author = {Zujin Zhang, Xian Yang},
journal = {Annales Polonici Mathematici},
keywords = {MHD equations; regularity criteria; Besov spaces; Hardy spaces; BMO spaces},
language = {eng},
number = {1},
pages = {87-99},
title = {Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients},
url = {http://eudml.org/doc/280552},
volume = {116},
year = {2016},
}

TY - JOUR
AU - Zujin Zhang
AU - Xian Yang
TI - Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients
JO - Annales Polonici Mathematici
PY - 2016
VL - 116
IS - 1
SP - 87
EP - 99
AB - We study the Cauchy problem for the MHD system, and provide two regularity conditions involving horizontal components (or their gradients) in Besov spaces. This improves previous results.
LA - eng
KW - MHD equations; regularity criteria; Besov spaces; Hardy spaces; BMO spaces
UR - http://eudml.org/doc/280552
ER -

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