Asymptotic Behavior of the Newton-Boussinesq Equation in a Two-Dimensional Channel
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🧮 math-ph
math.MP
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equationasymptoticattractorchannelglobalnewton-boussinesqtwo-dimensionalbehavior
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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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