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On the interior regularity conditions of a suitable weak solution to 3D MHD equations

  • Jae-Myoung Kim

摘要

We study the local interior regularity condition of a suitable weak solution to MHD equations. We prove that if a vorticity, w belong to \(L_{x,t}^{p,q}\) L x , t p , q in a neighborhood of an interior point with \(\frac{3}{p} + \frac{2}{q} \le 2\) 3 p + 2 q 2 and \(\frac{3}{2}< p < \infty \) 3 2 < p < , then solution is regular near that point. Also, we show the result of the component reduction in this direction.