Special Session 143: Nonlinear dynamics for kinetic, fluids and mathematical physics

On wellposedness of alpha-SQG equations in the half-plane
Junha Kim
Ajou University
Korea
Co-Author(s):    In-Jee Jeong, Yao Yao
Abstract:
We investigate the wellposedness of alpha-SQG equations in the half-plane, where alpha=0 and alpha=1 correspond to the 2D Euler and SQG equations respectively. We prove local wellposednesss and illposedness in anisotropic weighted Holder spaces. This talk is based on joint work with In-Jee Jeong and Yao Yao.