For more information about this meeting, contact Kris Jenssen, Yuxi Zheng.

Title: | Infinite-energy 2D statistical solutions to the equations of incompressible fluids |

Seminar: | Computational and Applied Mathematics Colloquium |

Speaker: | James P. Kelliher, University of California, Riverside |

Abstract: |

We develop the concept of an infinite-energy statistical solution to the Navier-Stokes and Euler equations in the whole plane. We use a velocity formulation with enough generality to encompass initial velocities having bounded vorticity, which includes the important special case of vortex patch initial data. Our approach is to use well-studied properties of statistical solutions in a ball of radius R to construct, in the limit as R goes to infinity, an infinite-energy solution to the Navier-Stokes equations. We then construct an infinite-energy statistical solution to the Euler equations by making a vanishing viscosity argument. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 12 / 18 / 2009 |

Time: | 03:35pm - 04:25pm |