Dynamics of the BBM equation with a distribution force in low regularity spaces

Ming Wang, Anping Liu

Abstract


The Benjamin-Bona-Mahony equation with a distribution force on torus is studied in low regularity spaces. The global well-posedness and the existence of a global attractor in $\dot{H}^{s,p}(\mathbb{T})$ are proved.

Keywords


Global attractor; Benjamin-Bona-Mahony equation; low regularity

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