Seminars are usually held on Friday afternoon.
The seminar is currently held in hybrid mode, organized jointly with Laval University in Quebec City. In-person seminars in Montreal are held at Concordia, McGill or the CRM/Université de Montréal; in person seminars in Quebec City are held at Laval.
To be added to the mailing list, attend a zoom session, and for suggestions, questions etc. please contact one of the organizers.
Some of the past talks are recorded and posted on the CRM Youtube channel, on the Mathematical Analysis Lab playlist.
Friday, September 25, 2:30pm, hybrid seminar at Université Laval, Pavillon Alexandre-Vachon, VCH-3840
Tomasz Jakubowski (Wrocław University of Science and Technology)
Fractional Burgers equation with singular initial condition
We consider a multidimensional fractional Burgers equation with singular initial data. Previous results in this area usually required integrable initial conditions. I will present a broader framework that allows strongly singular, non-integrable data, including functions with power-type singularities. The talk will focus on the existence of solutions and their main qualitative properties, including self-similar behavior and pointwise estimates.
Friday, September 18, 2:25pm, hybrid seminar at UdeM, Pavillon André-Aisenstadt, room 5183
Lawford Hatcher, CRM-ISM (Concordia, Laval, UdeM)
The no-flux Laplacian and its applications
We present some results on eigenvalues of the Laplacian with "no-flux" boundary conditions, under which eigenfunctions have constant Dirichlet data and mean-zero Neumann data. It was established by Greco-Lucia in 2008 that the disjoint union of two balls uniquely minimizes the first positive eigenvalue of this problem among Euclidean domains of a fixed volume. We will discuss a new stability result for this inequality. We will also present applications of this eigenvalue problem to two problems in spectral geometry: the existence of large hyperbolic surfaces with conical singularities and a spectral gap greater than ¼ (based on joint work with Bram Petri) and the minimization of curl eigenvalues on domains in a certain geometric setting (based on joint work with Willi Kepplinger and David Perrella).
Alexandre Girouard (Université Laval)
Galia Dafni (Concordia University)
Dmitry Faifman (Université de Montréal)
Dmitry Jakobson (McGill University)
Maria Ntekoume (Concordia University)