Attractors for the viscous Camassa-Holm equation

Details Attractors for the viscous Camassa-Holm equation Attractors for the viscous Camassa-Holm equation

2006-12-12

arxiv.org/abs/math/0612321v1

Mathematics

Dynamical Systems

To appear in DCDS- A

Scientific paper

We show that the viscous Camassa-Holm equation subject to an external force,
and where the viscosity term is given by second order differential operator in
divergence form has a global attractors in the energy space $H^1$. Moreover, we
establish an asymptotic smoothing effect.

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