Local well-posedness for 2D incompressible magneto-micropolar boundary layer system

Abstract

In this paper, we consider the 2D magneto-micropolar boundary layer system. Using a suitable change of variables and performing analytic energy estimates in the tangential variable, we obtain the local well-posedness for the 2D magneto-micropolar boundary layer system when the initial data are analytic in the x variable.

COMMUNICATED BY:

• Ming Mei

Keywords:

• Magneto-micropolar boundary layer
• local well-posedness
• real-analyticity

2010 Mathematics Subject Classifications:

• 76W05
• 35B65
• 35Q35
• 35A01

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the Zhejiang Provincial Natural Science Foundation of China [LR17A010001], National Natural Science Foundation of China [11771389 and 11621101].