We prove a regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system with the Coulomb gauge in ℝ³. It is proved that if the velocity field in the Besov space satisfies some integral property, then the solution keeps its smoothness.

中文翻译：

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非均匀不可压缩的Ginzburg-Landau-Navier-Stokes系统的正则性准则

我们证明了非齐次不可金兹堡-朗道-纳维-斯托克斯系统与ℝ库仑计的规律性标准³。证明了如果Besov空间中的速度场满足某些积分性质，则解决方案将保持其光滑性。