Regularity and decay of 3D incompressible MHD equations with nonlinear damping terms
Volume 139 / 2015
Colloquium Mathematicum 139 (2015), 185-203
MSC: 35Q35, 35B35, 35B65, 76D03.
DOI: 10.4064/cm139-2-3
Abstract
We prove the existence and uniqueness of global strong solutions to the Cauchy problem for 3D incompressible MHD equations with nonlinear damping terms. Moreover, the preliminary $L^{2}$ decay for weak solutions is also established.
