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• W2278281642 abstract "In this paper, we study the long time behavior of solutions to a weakly dissipative fractional Korteweg de Vries (KdV) equation on the real line R. The main difficulty lies in that the dissipative term is a nonlocal operator. We overcome this difficulty by the commutator estimates and product estimates associated with fractional Laplacian. The asymptotical compactness of solution semigroup is proved by the tail estimates. Finally, we conclude the existence of (H2(R), H5(R)) global attractor of the weakly dissipative fractional KdV equation." @default.
• W2278281642 created "2016-06-24" @default.
• W2278281642 creator A5057036092 @default.
• W2278281642 creator A5071389166 @default.
• W2278281642 creator A5075909201 @default.
• W2278281642 date "2015-12-01" @default.
• W2278281642 modified "2023-10-16" @default.
• W2278281642 title "Higher regularity of global attractors of a weakly dissipative fractional Korteweg de Vries equation" @default.
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• W2278281642 doi "https://doi.org/10.1063/1.4938421" @default.
• W2278281642 hasPublicationYear "2015" @default.
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