A note on the inviscid limit of the Benjamin-Ono-Burgers equation in the energy space
Abstract
In this paper we study the inviscid limit of the Benjamin-Ono-Burgers equation in the energy space H1/2 () or H1/2() . 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 .
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