hal-00631034, version 1
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 $ 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 $.
- 1:
- CNRS : UMR6083 – Université François Rabelais - Tours
- Domain : Mathematics/Analysis of PDEs
- Keywords : Benjamin-Ono equation – inviscid limit
- hal-00631034, version 1
- http://hal.archives-ouvertes.fr/hal-00631034
- oai:hal.archives-ouvertes.fr:hal-00631034
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- Submitted on: Tuesday, 11 October 2011 12:26:31
- Updated on: Tuesday, 11 October 2011 14:38:03
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