Attractors for the viscous Camassa-Holm equation

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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.
To appear in DCDS- A

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Dynamical Systems, 35Q35, 35Q58, 37K40, 35B41, 35B65, 76B15

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http://salesiana.dossiersoluciones.com/handle/123456789/100000

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612321
 http://arxiv.org/abs/math/0612321

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arXiv