Attractors for the viscous Camassa-Holm equation
classification
🧮 math.DS
keywords
attractorscamassa-holmequationviscousasymptoticdifferentialdivergenceeffect
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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.
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