\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation

Abstract Related Papers Cited by
  • We prove the asymptotic stability in $H^1(\mathbb R)$ of the family of solitary waves for the Benjamin-Bona-Mahony equation,

    $(1-\partial^2_x)u_t+(u+u^2)_x=0.$

    We prove that a solution initially close to a solitary wave, once conveniently translated, converges weakly in $H^1(\mathbb R)$, as time goes to infinity, to a possibly different solitary wave. The proof is based on a Liouville type theorem for the flow close to the solitary waves, and makes an extensive use of a monotonicity property.

    Mathematics Subject Classification: 35B40, 35Q51, 35Q53.

    Citation:

    \begin{equation} \\ \end{equation}
  • 加载中
SHARE

Article Metrics

HTML views() PDF downloads(186) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return