Analysis Seminar | |

Topic: | Singularity formation for some incompressible Euler flows |

Speaker: | Tarek Elgindi |

Affiliation: | University of California, San Diego |

Date: | Monday, May 6 |

Time/Room: | 3:00pm - 4:00pm/Simonyi Hall 101 |

We describe a recent construction of self-similar blow-up solutions of the incompressible Euler equation. A consequence of the construction is that there exist finite-energy $C^{1,a}$ solutions to the Euler equation which develop a singularity in finite time for some range of $a>0$. The approach we follow is to isolate a simple non-linear equation which encodes the leading order dynamics of solutions to the Euler equation in some regimes and then prove that the simple equation has stable self-similar blow-up solutions.