Global-in-time solutions to three-dimensional magnetohydrodynamics equations with a class of large initial data
Volume 156 / 2019
Colloquium Mathematicum 156 (2019), 69-90
MSC: 35Q30, 35B40, 76D05.
DOI: 10.4064/cm7457-3-2018
Published online: 14 December 2018
Abstract
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.
