Sie können Bookmarks mittels Listen verwalten, loggen Sie sich dafür bitte in Ihr SLUB Benutzerkonto ein.
Medientyp:
E-Artikel
Titel:
Higher regularity of global attractors of a weakly dissipative fractional Korteweg de Vries equation
Beteiligte:
Guo, Yantao;
Wang, Ming;
Tang, Yanbin
Erschienen:
AIP Publishing, 2015
Erschienen in:Journal of Mathematical Physics
Sprache:
Englisch
DOI:
10.1063/1.4938421
ISSN:
0022-2488;
1089-7658
Entstehung:
Anmerkungen:
Beschreibung:
<jats:p>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.</jats:p>