Global well-posedness and inviscid limit for the generalized Benjamin–Ono–Burgers equation

ABSTRACTThis paper deals with the Cauchy problem for the generalized Benjamin–Ono–Burgers equation ∂tu+H∂x2u−νuxx+∂x(uk+1/(k+1))=0, k⩾ 4, where H denotes Hilbert transform. We obtain its global wel...