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

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

2011-10-11

arxiv.org/abs/1110.2352v1

Mathematics

Analysis of PDEs

Scientific paper

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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