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arXiv · 1912.11648

Desingularization of steady vortex of perturbation type in the lake equations

Daomin Cao·Jie Wan·Changjun Zou
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Abstract

In this paper, we study the desingularization of steady lake model of perturbation type with general nonlinearity f. Using the modified vorticity method, we construct a family of steady solutions with vanishing circulation, which constitute a desingularization of a singular vortex. The localization of the singular vortex is determined only by the vanishing rate of the circulation. Some qualitative and asymptotic properties are also established.

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Daomin Cao, Jie Wan, Changjun Zou. 2019-12-25. Desingularization of steady vortex of perturbation type in the lake equations. https://arxiv.org/abs/1912.11648

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