The Pullback Attractors for the Nonautonomous Camassa-Holm Equations

Delin Wu

Mathematical Problems in Engineering, 2009, vol. 2009, 1-12

Abstract:

We consider the pullback attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box Ω = [ 0 , ð ¿ ] 3 . Assuming ð ‘“ ∈ ð ¿ 2 l o c ( ( 0 , 𠑇 ) ; ð · ( ð ´ âˆ’ 1 / 2 ) ) , which is translation bounded, the existence of the pullback attractor for the three-dimensional nonautonomous Camassa-Holm system is proved in ð · ( ð ´ 1 / 2 ) and ð · ( ð ´ ) .

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:390805

DOI: 10.1155/2009/390805

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