Global regularity of the logarithmically supercritical MHD system with zero diffusivity

• DOI: 10.1016/j.aml.2013.10.014
• Publication Date: 2013-11-08T17:00:18Z
• Authors: Kazuo Yamazaki
• Keywords: Mathematics - Analysis of PDEs; FOS: Mathematics; 0101 mathematics; 01 natural sciences; Analysis of PDEs (math.AP)

We prove the global regularity of the solution pair to the N-dimensional logarithmically supercritical magnetohydrodynamics system with zero diffusivity. This is the endpoint case omitted in the work of [24]; it also improves some previous results logarithmically.<br/>This is the accepted version: Appl. Math. Lett., in press<br/>