Limiting case for the regularity criterion to the 3-D Magneto-hydrodynamics equations

作者：Wang Wendong; Zhang Zhifei^*

来源：Journal of Differential Equations, 2012, 252(10): 5751-5762.

DOI：10.1016/j.jde.2012.01.043

We prove that any weak solution (u, b) of three-dimensional incompressible u is an element of (0, T; L-3(R-3)) and b is an element of L-infinity (0, T; VMO-1(R-3)). The proof is based on the blow-up analysis and backward uniqueness for the parabolic operator developed by Escauriaza-Seregin-Sverak.

• 出版日期2012-5-15
• 单位北京大学