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arxiv: 1609.01351 · v1 · pith:CSEFA63Ynew · submitted 2016-09-05 · 🧮 math.AP

The finite dimensions and determining modes of the global attractor for 2d Boussinesq equations with fractional Laplacian

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keywords attractorboussinesqdeterminingfinitefractionalgloballaplacianmodes
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In this article, we prove the finite dimensionality of the global attractor and estimate the numbers of the determining modes for the 2D Boussinesq system in a periodic channel with fractional Laplacian in subcritical case.

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