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- W4297918242 abstract "In this paper, we prove that the Cauchy problem associated to the following higher-order Benjamin-Ono equation $$ partial_tv-bmathcal{H}partial^2_xv- aepsilon partial_x^3v=cvpartial_xv-depsilon partial_x(vmathcal{H}partial_xv+mathcal{H}(vpartial_xv)), $$ is globally well-posed in the energy space $H^1(mathbb R)$. Moreover, we study the limit behavior when the small positive parameter $epsilon$ tends to zero and show that, under a condition on the coefficients $a$, $b$, $c$ and $d$, the solution $v_{epsilon}$ to this equation converges to the corresponding solution of the Benjamin-Ono equation." @default.
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- W4297918242 date "2011-11-03" @default.
- W4297918242 modified "2023-10-12" @default.
- W4297918242 title "Global well-posedness and limit behavior for a higher-order Benjamin-Ono equation" @default.
- W4297918242 doi "https://doi.org/10.48550/arxiv.1111.0858" @default.
- W4297918242 hasPublicationYear "2011" @default.
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