A note on the inviscid limit of the Benjamin-Ono-Burgers equation in the   energy space
  In this paper we study the inviscid limit of the Benjamin-Ono-Burgers equation in the energy space $ H^{1/2} (\R) $ or $ H^{1/2}(\T) $. We prove the strong convergence in the energy space of the solution to this equation toward the solution of the Benjamin-Ono equation as the dissipation coefficient converges to $ 0 $. 
Luc Molinet (LMPT)
math.AP