A single exponential BKM type estimate for the 3D incompressible ideal MHD equations
1 Department of Mathematics, Shanghai University, Shanghai, 200444, P.R. China
2 School of Mathematics and Statistics, Central South University, Changsha, 410083, P.R. China
3 Key Laboratory of Metallogenic Prediction of Nonferrous Metals, Ministry of Education, Central South University, Changsha, 410083, P.R. China
Boundary Value Problems 2014, 2014:96 doi:10.1186/1687-2770-2014-96Published: 6 May 2014
In this paper, we give a Beale-Kato-Majda type criterion of strong solutions to the incompressible ideal MHD equations. Instead of double exponential estimates, we get a single exponential bound on (). It can be applied to a system of an ideal viscoelastic flow.
MSC: 35B65, 76W05.