Cauchy Problem for Cylinder-like Capillary Jets

Haocheng Yang

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arXiv · 2410.12506

Cauchy Problem for Cylinder-like Capillary Jets

Haocheng Yang

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Abstract

The motion of liquid jets plays an important role in physics and engineering, and needs rigorous mathematical investigations. Recently, Huang-Karakhanyan proved the first local well-posedness in Sobolev spaces for axisymmetric jets. In this paper, we will extend this result to general jets, namely without any axisymmetry condition.

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Haocheng Yang. 2024-10-16. Cauchy Problem for Cylinder-like Capillary Jets. https://arxiv.org/abs/2410.12506

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