| 概要 | In this talk I will talk about the inviscid limit of
Bejamin-Ono-Burgers (BOB) equation. We prove that the Cauchy problem for
the BOB equation is uniformly (with respect to the viscid parameter)
globally well-posed in  ( ) for all. Moreover, we show that
the solution converges to that of Benjamin-Ono equation in
) () for any  as  . Our results give
a new proof without gauge transform for the global well-posedness of BO
equation in  which was first obtained by Tao (\cite{TaoBO}), and obtain
the inviscid limit behavior in . |