University of Alberta

In this talk we study the Cauchy problem for 1-D Euler-Poisson system, which represents a physically relevant hydrodynamic model but also a challenging case for a bipolar semiconductor device by considering two different pressure functions and a non...

Methods based on L1-relaxation are popular for sparse regression in high dimensions. Elastic Net Regularization is an algorithm for learning and variable selection. It is based on a regularized least square procedure with a penalty which is the sum...

In this talk we give a review of the approach to multivariable interpolation and approximation using radial basis functions. They are most popular in theory and applications because they provide approximants and interpolants in any space dimension...

In order to construct the moduli space of canonical polarized manifolds, three different stability conditions have been introduced, namely, KSBA-stability, K-stabilty and asymptotic GIT stability. In this talk, we try to explore the relations among...

Optimal partial transport is a variant of optimal transport theory, where only a portion of mass is to be transported in an efficient way. It was initially studied by Caffarelli and McCann. I will explain a joint work in progress with Gonzalo Davila...

Peritoneal dialysis is a life saving treatment for chronic patients with end stage renal disease. The peritoneal cavity, an empty space that separates bowels, abdominal muscles and other organs in the abdominal cavity, is applied as a container for...

Monetary utility functions are -- except for the expected value -- not of von Neumann-Morgenstern type. In case the utility function has convex level sets in the set of probability measures on the real line, we can give some characterisation that...

This talk is about the wavelet frame-based image and video restorations. We start with some of main ideas of wavelet frame based image restorations. Some of applications of wavelet frame based models image analysis and restorations will be shown...

During development, many cells respond to signals in their environment by taking on a specific fate. Nematode worms of the Caenorhabditis genus develop an egg laying structure called the vulva, and this structure is highly conserved across species. I...

Existence of nonnegative weak solutions is shown for thin film approximations of the Muskat problem which include either gravity forces or capillary forces or both. The model describes the space-time evolution of the heights of the two fluid layers...