Attractors for the viscous Camassa-Holm equation | Zendy

Milena Stanislavova | Zendy; Atanas Stefanov | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Attractors for the viscous Camassa-Holm equation

Author(s) -

Milena Stanislavova,

Atanas Stefanov

Publication year - 2007

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2007.18.159

Subject(s) - attractor , mathematical analysis , term (time) , viscosity , space (punctuation) , real line , smoothing , mathematics , physics , divergence (linguistics) , operator (biology) , line (geometry) , geometry , computer science , linguistics , statistics , philosophy , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene , operating system

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 indivergence form has a global attractors in the energy space $H^1$. Moreover, weestablish an asymptotic smoothing effect.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research