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Global-in-time solutions to three-dimensional magnetohydrodynamics equations with a class of large initial data

Volume 156 / 2019

Xiaoxin Zheng, Xiang Bai Colloquium Mathematicum 156 (2019), 69-90 MSC: 35Q30, 35B40, 76D05. DOI: 10.4064/cm7457-3-2018 Published online: 14 December 2018


We study the Cauchy problem for the three-dimensional incompressible magnetohydrodynamics equations. By introducing weighted spaces and using the techniques of microlocal analysis, we prove its global-in-time well-posedness for a class of large initial data.


  • Xiaoxin ZhengSchool of Mathematics and Systems Science
    Beihang University
    100191, Beijing, P.R. China
  • Xiang BaiThe Graduate School of
    China Academy of Engineering Physics
    100088, Beijing, P.R. China

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