Local-in-time wellposedness for 2D compressible magneto-micropolar boundary layer equations in Sobolev spaces

Speaker:              Yuming Qin

Time:                   10:15, July. 10th.

Location:             SIST 1A-200

Host:                    Prof. Qifeng Liao

Abstract:

In this talk, we shall consider the two-dimensional  compressible magneto-micropolar boundary layer equations on the half-plane, which are  derived from 2D compressible magneto-micropolar fluid equations with the non-slip boundary condition on velocity, Dirichlet boundary condition on micro-rotational velocity and perfectly conducting boundary condition on magnetic field. Based on a nonlinear coordinate transformation, we first prove the local-in-time well-posedness for the compressible magneto-micropolar boundary layer system in Sobolev spaces, provided that initial tangential magnetic field is non-degenerate.

Bio:

Qin Yuming is a Tier-2 Professor and Doctoral Supervisor at Donghua University. He holds a Ph.D. from Fudan University and completed postdoctoral research at the National Laboratory for Scientific Computing (LNCC) under Brazil's Ministry of Science and Technology. He serves as the Director of the Institute of Nonlinear Science at Donghua University and is a member of the university's 9th Academic Degree Evaluation Committee. His past leadership roles include serving as Head of the Department of Mathematics, Head of the Mathematics Discipline, Lead for the establishment of the doctoral program in Mathematics, and Lead for the construction of the National First-Class Undergraduate Program in Mathematics. Currently, he serves on the editorial boards of six international journals and acts as a special reviewer for *Mathematical Reviews* (USA) and for projects funded by the National Natural Science Foundation of China and the China Scholarship Council. He is a Council Member of the Chinese Mathematical Society (serving on its Academic Exchange Committee) and a Council Member of the China Society for Industrial and Applied Mathematics. Additionally, he holds positions in the Shanghai Society for Industrial and Applied Mathematics (Council Member and Academic Committee Member) and the Shanghai Nonlinear Science Society (Executive Council Member and Vice President). He is a member of the 5th Discipline Review Group of the Shanghai Academic Degree Committee and has served as a review expert for the Shanghai Natural Science Award (Mathematics, Physics, and Mechanics category) for the periods of 2018–2020, 2022–2023, and 2025.