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arXiv · 1505.06281

Axisymmetric flow of ideal fluid moving in a narrow domain: a study of the axisymmetric hydrostatic Euler equations

Robert M. Strain·Tak Kwong Wong
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Abstract

In this article we will introduce a new model to describe the leading order behavior of an ideal and axisymmetric fluid moving in a very narrow domain. After providing a formal derivation of the model, we will prove the well-posedness and provide a rigorous mathematical justification for the formal derivation under a new sign condition. Finally, a blowup result regarding this model will be discussed as well.

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Robert M. Strain, Tak Kwong Wong. 2015-05-23. Axisymmetric flow of ideal fluid moving in a narrow domain: a study of the axisymmetric hydrostatic Euler equations. https://doi.org/10.1016/j.jde.2015.11.023

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