English

Cauchy Problem for Cylinder-like Capillary Jets

Analysis of PDEs 2024-10-17 v1

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.

Cite

@article{arxiv.2410.12506,
  title  = {Cauchy Problem for Cylinder-like Capillary Jets},
  author = {Haocheng Yang},
  journal= {arXiv preprint arXiv:2410.12506},
  year   = {2024}
}
R2 v1 2026-06-28T19:24:08.238Z