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math.AP2022
Blowup dynamics for equivariant critical Landau--Lifshitz flow
Fangyu Han, Zhong Tan
The existence of finite time blowup solutions for the two-dimensional Landau--Lifshitz equation is a long-standing problem, which exists in the literature at least since 2001 (E, M…
math.AP2022
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…