THE INVISCID LIMIT OF THE MODIFIED BENJAMIN–ONO–BURGERS EQUATION

Hua Zhang, Yuqin Ke

Type: Article

Publication Date: 2010-12-06

Citations: 1

DOI: https://doi.org/10.1017/s0004972710001905

Abstract

Abstract We prove that the modified Benjamin–Ono–Burgers equation is globally well-posed in H s for s >0. Moreover, we show that the solution of the modified Benjamin–Ono–Burgers equation converges to that of the modified Benjamin–Ono equation in the natural space C ([0, T ]; H s ), s ≥1/2, as the dissipative coefficient ϵ goes to zero, provided that the L 2 norm of the initial data is sufficiently small.

Locations

Bulletin of the Australian Mathematical Society - View - PDF

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