For more information about this meeting, contact Stephanie Zerby, Chun Liu.

Title: | ASYMPTOTIC ISSUES |

Seminar: | Department of Mathematics Colloquium |

Speaker: | Professor Michel Chipot, University of Zurich (Host: Chun Liu) |

Abstract: |

We would like to present some results on the asymptotic behaviour of different
problems set in cylindrical domains of the type `ω1 × ω2 when ` → ∞. For i = 1, 2
ωi are two bounded open subsets in R
di
.
To fix the ideas on a simple example consider for instance ω1 = ω2 = (−1, 1)
and u` the solution to
−∆u` = f in Ω` = (−`, `) × (−1, 1) , u` = 0 on ∂Ω`.
It is more or less clear that, when ` → ∞, u` will converge toward u∞ solution to
−∆u∞ = f in Ω∞ = (−∞, ∞) × (−1, 1) , u∞ = 0 on ∂Ω∞.
However this problem has infinitely many solutions since for every integer k
exp(kπx1)sin(kπx2)
is solution of the corresponding homogeneous problem. Our goal is to explain the
selection process of the solution for different problems of this type when ` → ∞. |

### Room Reservation Information

Room Number: | MB114 |

Date: | 09 / 04 / 2014 |

Time: | 02:30pm - 03:20pm |