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

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

2007-05-24

arxiv.org/abs/0705.3671v1

Nonlinear Analysis, 70 (2009) 2000-2013

Physics

Mathematical Physics

Scientific paper

10.1016/j.na.2008.02.098

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.

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