The analysis seminar offers a venue for research, tutorial and expository talks in the area of analysis.
See below for upcoming seminars or access the seminar archive.
Organizers
Elaine Cozzi and David Finch.
Timing
Mondays at noon
The analysis seminar offers a venue for research, tutorial and expository talks in the area of analysis.
See below for upcoming seminars or access the seminar archive.
Elaine Cozzi and David Finch.
Mondays at noon
Speaker: Blair Davey
In the late 1960s, E.M. Landis made the following conjecture: If u and V are bounded functions, and u is a solution to the Schr\"odinger equation in Euclidean space that decays faster than exponential, then u must be identically zero. In 1992, V. Z. Meshkov disproved this conjecture by constructing bounded, complex-valued functions u and V that solve the Schr\"odinger equation in the plane and satisfy |u(x)| \le c \exp(- C |x|^{4/3}). The examples of Meshkov were accompanied by qualitative… Read more.
Speaker: Nicholas Harrison
In this talk, I'll consider the scenario described by the Patlak-Keller-Segel (PKS) Model of chemotactic aggregation together with the presence of some strong ambient advective forcing fluid, say wind or turbulent waters. The PKS model is well-known to exhibit finite-time blow-up behavior in many relevant settings, but it turns out that if the advective flow is sufficiently well-mixing, then there is a regularization effect which suppresses this blow-up (and in fact induces convergence to the… Read more.