Higher dimensional generalization of the Benjamin-Ono equation: 2D case

Oscar Riaño, Svetlana Roudenko, Kai Yang

We consider a higher-dimensional version of the Benjamin-Ono (HBO) equation in the 2D setting: $u_t-{\mathcal{R}}_1\Delta u+\frac{1}{2}(u^2{)}_x=0,(x,y)\in {\mathbb{R}}^2$, which is $L^2…