an:06276463
Zbl 1288.35406
Ye, Zhuan; Xu, Xiaojing
Global regularity of the two-dimensional incompressible generalized magnetohydrodynamics system
EN
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 100, 86-96 (2014).
00331186
2014
j
35Q35 35B35 35B65 76D03 76W05
global regularity; generalized MHD; fractional Laplacian
It is shown that the generalized incompressible MHD equations -- where the velocity dissipation exponent (of the Navier-Stokes member) is greater than or equal to \(\frac14\) -- admit a globally regular solution. (The word ``generalized'' here simply means that the authors consider the problem in a broader view where the Navier-Stokes member an the magnetic diffusion exponent may have values that differ from the usual ones in customary MHD).
Iv??n Abonyi (Budapest)