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

Luc Molinet

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arXiv · 1110.2352

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

Luc Molinet

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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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Luc Molinet. 2011-10-11. A note on the inviscid limit of the Benjamin-Ono-Burgers equation in the energy space. https://arxiv.org/abs/1110.2352

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