Global well-posedness and long-time asymptotics of a general nonlinear non-local Burgers Equation

Jin Tan, Francois Vigneron

This paper is concerned with the study of a nonlinear non-local equation that has a commutator structure. The equation reads ${\partial }_{t}u-F(u)(-\Delta {)}^{s/2}u+(-\Delta {)}^{s/2}(uF(u))=0$,…