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arXiv · 2203.16999

Traveling vortex pairs for 2D Boussinesq equations

Daomin Cao·Shanfa Lai·Guolin qin
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Abstract

In this paper, we study the existence and asymptotic properties of the traveling vortex pairs for the two-dimensional inviscid incompressible Boussinesq equations. We construct a family of traveling vorticity pairs, which constitutes the de-singularization of a pair of point vortices with equal intensity but opposite sign. Using the improved vorticity method, we also give limiting position of the supports of vorticities.

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Daomin Cao, Shanfa Lai, Guolin qin. 2022-03-31. Traveling vortex pairs for 2D Boussinesq equations. https://arxiv.org/abs/2203.16999

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