Global regularity of 2D generalized MHD equations with magnetic damping

Publication date: June 2020Source: Nonlinear Analysis: Real World Applications, Volume 53Author(s): Caochuan Ma, Zhaoyun ZhangAbstractIn this paper, we focus on the global regularity of 2D generalized magnetohydrodynamics equations with magnetic damping |b|β−1b. Basing on the Maximal regularity of parabolic equation, we are able to show that this system has global smooth solutions when the initial data is sufficiently smooth.

Source: Nonlinear Analysis: Real World Applications - November 22, 2019 Category: Research Source Type: research