Abstract This paper studies the Cauchy problem of the 2D nonhomogeneous incompressible micropolar equations. It is shown that the problem admits a unique global strong solution. Note that the initial data can be arbitrary large and the initial density can contain vacuum states.

中文翻译：

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具有大初始数据和真空的二维密度相关微极方程柯西问题的全局适定性

摘要 本文研究了二维非齐次不可压缩微极方程的柯西问题。结果表明，该问题具有唯一的全局强解。请注意，初始数据可以是任意大的，初始密度可以包含真空状态。