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arXiv · 1708.02695

Global well-posedness for the 2D Boussinesq equations with a velocity damping term

Renhui Wan
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Abstract

In this paper, we prove global well-posedness of smooth solutions to the two-dimensional incompressible Boussinesq equations with only a velocity damping term when the initial data is close to an nontrivial equilibrium state $(0,x_2)$. As a by-product, under this equilibrium state, our result gives a positive answer to the question proposed by [ACWX] (see P.3597).

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Renhui Wan. 2017-08-09. Global well-posedness for the 2D Boussinesq equations with a velocity damping term. https://arxiv.org/abs/1708.02695

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