A note on the inviscid limit of the Benjamin-Ono-Burgers equation in the energy space

2011/10/11 by Luc Molinet, Molinet, Luc
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1110.2352

arxiv created 2011/10/11 · arxiv updated 2011/10/12

Abstract

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 .

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