On the critical one-component velocity regularity criteria to 3-D incompressible MHD system

Yanlin Liu

Let $(u,b)$ be a smooth enough solution of 3-D incompressible MHD system. We prove that if $(u,b)$ blows up at a finite time $T^{\ast }$, then for any $p\in ]4,\infty [$, there holds $\int…