A note on the inviscid limit of the Benjamin-Ono-Burgers equation in the energy spaceReport as inadecuate




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1 LMPT - Laboratoire de Mathématiques et Physique Théorique

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 $.

keyword : inviscid limit Benjamin-Ono equation





Author: Luc Molinet -

Source: https://hal.archives-ouvertes.fr/



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