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arXiv:0705.3671 [math-ph]AbstractReferencesReviewsResources

Asymptotic Behavior of the Newton-Boussinesq Equation in a Two-Dimensional Channel

Guglielmo Fucci, Bixiang Wang, Preeti Singh

Published 2007-05-24Version 1

We prove the existence of a global attractor for the Newton-Boussinesq equation defined in a two-dimensional channel. The asymptotic compactness of the equation is derived by the uniform estimates on the tails of solutions. We also establish the regularity of the global attractor.

Journal: Nonlinear Analysis, 70 (2009) 2000-2013
Categories: math-ph, math.MP
Subjects: 35B40, 35B41, 37L30
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