4 papers
Linear ill-posedness of three-dimensional MHD boundary layer equations
Mingxue Zhang, Zhonger Wu
We prove linear ill-posedness in tangential Sobolev spaces for the three-dimensional resistive MHD boundary layer equations. We assume that a suitable linear combination of the ini…
Local Well-Posedness of the Boundary Layer Equations for Dilatant Power-Law Fluids
Mingxue Zhang, Zhonger Wu
We establish the local-in-time existence and uniqueness of monotone solutions to the two-dimensional nonstationary boundary-layer equations for a dilatant power-law fluid in a peri…
Local well-posedness of the boundary layer for a pseudo-plastic fluid by energy methods
Zhonger Wu, Zhong Tan
We study the well-posedness of the boundary layer for a pseudo-plastic fluid by energy methods under Oleinik's monotonicity assumption. We need to address two main difficulties: de…
Global small solutions of MHD boundary layer equations in Gevrey function space
Zhong Tan, Zhonger Wu
In this paper, we obtain global small solutions and decay estimates for the MHD boundary layer in Gevrey space without any structural assumptions, generalizing the results of \cite…