On well-posedness of $\alpha$-SQG equations in the half-plane

In-Jee Jeong, Junha Kim, Yao Yao

We investigate the well-posedness of $\alpha$-SQG equations in the half-plane, where $\alpha =0$ and $\alpha =1$ correspond to the 2D Euler and SQG equations respectively. For $0<\alpha \le 1/2$, we prov…