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

2015/04/03 by Huang, Aimin, Huo, Wenru
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.00716

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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