# Fluid Flows with Concentrated Vorticity

## Description

*This is a graduate course, not a general lecture. While all are welcome to attend, please keep in mind that the core audience of these courses is a cohort of students taking them for credit and being evaluated by course leaders, in part, on their participation. *

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This course will survey various aspects of inviscid fluid flows with concentrated vorticity in two dimensions, where there is a reasonably complete theory, as well as three dimensions, where many basic questions remain open. It will address both classical and quantum mechanical fluids. The behavior of concentrated vortices touches on many areas of mathematics and will be approached with a wide range of mathematical tools and perspectives, including formal asymptotic analysis, nonlinear elliptic PDE and the calculus of variations, symplectic geometry, geometric measure theory, nonlinear dispersive equations, and both classical and modern aspects of fluid dynamics proper. The course will be accessible to graduate students with a basic knowledge of PDEs and real analysis.

#### Speakers Notes:

## Schedule

09:00 to 10:00 |
September 9, 2020 - Fluid Flows with Concentrated Vorticity
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
September 10, 2020 - Fluid Flows with Concentrated Vorticity
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
September 14, 2020 - Fluid Flows with Concentrated Vorticity
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
September 16, 2020 - Fluid Flows with Concentrated Vorticity
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
September 17, 2020 - Fluid Flows with Concentrated Vorticity
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
September 21, 2020 - Fluid Flows with Concentrated Vorticity
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
September 23, 2020 - Fluid Flows with Concentrated Vorticity
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
September 24, 2020 - Fluid Flows with Concentrated Vorticity
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
September 28, 2020 - Fluid Flows with Concentrated Vorticity
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
Bob Jerrard, University of Toronto |

09:00 to 10:00 |
December 16, 2020 - Fluid Flows with Concentrated Vorticity
Bob Jerrard, University of Toronto |

16:00 to 17:00 |
December 17, 2020 - Fluid Flows with Concentrated Vorticity
Bob Jerrard, University of Toronto |