Uniform local well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation

Mingjuan Chen, Boling Guo, Lijia Han

In this paper, we study the Cauchy problem for the Benjamin-Ono-Burgers equation ${\partial }_{t}u-\epsilon {\partial }_x^{2}u+\mathcal{H}{\partial }_x^{2}u+u{u}_x=0$, where $\mathcal{H}$ denotes the Hi…