### Abstract

A simple qualitative one‐dimensional model for the 3‐D vorticity equation of incompressible fluid flow is developed. This simple model is solved exactly; despite its simplicity, this equation retains several of the most important structural features in the vorticity equations and its solutions exhibit some of the phenomena observed in numerical computations for breakdown for the 3‐D Euler equations.

Original language | English (US) |
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Pages (from-to) | 715-724 |

Number of pages | 10 |

Journal | Communications on Pure and Applied Mathematics |

Volume | 38 |

Issue number | 6 |

DOIs | |

State | Published - Nov 1985 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

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## Cite this

Constantin, P., Lax, P. D., & Majda, A. (1985). A simple one‐dimensional model for the three‐dimensional vorticity equation.

*Communications on Pure and Applied Mathematics*,*38*(6), 715-724. https://doi.org/10.1002/cpa.3160380605