Wang Peixin (Postdoctoral fellow)
Department of Applied Mathematics, The Hong Kong Polytechnic University
I am interested in the well-posedness of incompressible fluid dynamics equations and boundary layer theory. My current focuses include:
• Vanishing dissipation limit of the Boussinesq equations in half plane.
• The well-posedness of the boundary layer system of the Boussinesq equations.
• The boundary layer problems from chemotaxis model.
1. NSFC: Asymptotic Analysis of Some Incompressible Fluid Dynamics Equations,(12171040). 2022.01–2025.12. Participant.
2. NSFC: Vanishing Dissipation Limit of the 2D Boussinesq System and Its Mathematical Theory of the Boundary Layer, (12301291). 2024.01–2026.12. Host.
3. China Postdoctoral Science Foundation, (2023M732739). 2023.09–2025.08. Host.
1. Peixin Wang, Jiahong Wu, Xiaojing Xu, Yueyuan Zhong, Sharp decay estimates for Oldroyd-B model with only fractional stress tensor diffusion. J. Funct. Anal. 282 (2022), no. 4. Paper No. 109332.
2. Peixin Wang, Stability for the 2D anisotropic surface quasi-geostrophic equation with horizontal dissipation. Appl. Math. Lett. 123 (2022), Paper No. 107577, 9 pp.
3. Peixin Wang, Xiaojing Xu, Vanishing Dissipation of the 2D Anisotropic Boussinesq Equations in the Half Plane. Indiana Univ. Math. J. 72 (2023), no. 3, 1107–1146.
4.Peixin Wang, Qian Li,Vanishing Dissipation Limit for the 2D Anisotropic Boussinesq Equations with Navier-slip boundary condition. Phys. D 468 (2024), Paper No.134301, 9 pp.