3 papers
math.AP2024
Prandtl Equations and Related Boundary Layer Equations
Yuming Qin, Xiaolei Dong, Xiuqing Wang
This book aims to present some recent results on Prandtl equations and MHD boundary layer equations. This book is essentially divided into two parts. Chapter 1 as the first part sy…
math.AP2023
Local existence of solutions to 3D Prandtl equations with a special structure
Yuming Qin, Xiuqing Wang
In this paper, we consider the 3D Prandtl equation in a periodic domain and prove the local existence and uniqueness of solutions by the energy method in a polynomial weighted Sobo…
math.AP2023
Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regine
Yuming Qin, Xiuqing Wang, Junchen Liu
In this paper, we prove local existence and uniqueness for the 2D Prandtl-Hartmann regine in weighted Sobolev spaces. Our proof is based on using uniform estimates of the regulariz…