Long time well-posedness of solutions for the 2D magneto-micropolar boundary layer equations in Sobolev framework

The aim of this paper is to prove the well-posedness of the 2D magneto-micropolar boundary layer equations for small initial data in exponentially weighted, low-regularity Sobolev spaces. First, we obtain a priori estimates of solutions in low-regularity Sobolev spaces using the paralinearization method combined with energy estimates, then establish well-posedness via an abstract bootstrap argument.