معرفی
Xukai Yan is an Assistant Professor in the Department of Mathematics at Oklahoma State University. He holds a Ph.D. in Mathematics from Rutgers University (2017) and was previously a postdoctoral researcher at Georgia Tech under the mentorship of Ronghua Pan and Yao Yao.
Research Interests: Yan specializes in partial differential equations and nonlinear analysis, with a focus on stationary Navier-Stokes equations, aggregation-diffusion equations, and geometric symmetry in hypersurfaces. His work explores existence, uniqueness, stability, and classification of solutions in fluid dynamics and mathematical physics.
Scientific Contributions: His research on homogeneous solutions of Navier-Stokes equations with singularities, asymptotic stability, and sharp stability of interaction energy has been published in top-tier journals like Arch. Ration. Mech. Anal. and J. Differential Equations. Recent projects include symmetry analysis and aggregation-diffusion models.
Contact & Teaching: Office hours: Monday & Wednesday 3:30-5:00 p.m. (MSCS 441). Teaching Spring 2022: Math 2233, Differential Equations. Email: xuyan@okstate.edu.
