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arXiv · 1504.00716

The global attractor of the 2D Boussinesq equations with fractional Laplacian in Subcritical case

Aimin Huang·Wenru Huo
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Abstract

We prove global well-posedness of strong solutions and existence of the global attractor for the 2D Boussinesq system in a periodic channel with fractional Laplacian in subcritical case. The analysis reveals a relation between the Laplacian exponent and the regularity of the spaces of velocity and temperature.

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Aimin Huang, Wenru Huo. 2015-04-03. The global attractor of the 2D Boussinesq equations with fractional Laplacian in Subcritical case. https://arxiv.org/abs/1504.00716

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