### Abstract

We define the notion of a "regular tube", and prove that a regular tube convected by a 3D incompressible flow cannot collapse to zero thickness in finite time.

Original language | English (US) |
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Pages (from-to) | 293-298 |

Number of pages | 6 |

Journal | Communications In Mathematical Physics |

Volume | 222 |

Issue number | 2 |

DOIs | |

State | Published - Sep 1 2001 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Cordoba, D., & Fefferman, C. (2001). On the collapse of tubes carried by 3D incompressible flows.

*Communications In Mathematical Physics*,*222*(2), 293-298. https://doi.org/10.1007/s002200100502