University of Alberta

The Alberta Mathematics Dialogue (AMD) emerged naturally from the Alberta Colleges Mathematics Conference (ACMC) and the North-South Dialogue (NSD). The first North-South Dialogue took place eighteen years ago, and 2019 will be the sixth Alberta...

The second-order centered (leapfrog) time-stepping scheme is commonly used in numerical models of weather and climate. The unstable computational mode is damped by applying a Robert–Asselin filter, which introduces first-order numerical errors...

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...

Recent advances in condensed matter physics have ushered in a new era of cross-fertilization between mathematics and physics. The study of topological materials, a radically new class of quantum materials discovered in the mid-2000s and the subject...

Recently, the optimal transport distance, or so-called Wasserstein distance has been introduced to full waveform inversion to compute the misfit between two seismograms. This measure has great potential to account for time and space shifts of events...

Among modern numerical methods to solve the optimal transport problem, dynamical optimal transport (a.k.a. fluid dynamic formulation or Benamou-Brenier formulation) is one of the oldest: it consists in rewriting the problem in terms of convex...

In this talk I will firstly review standard Multimarginal Optimal Transport ( a fixed number N of marginals is fixed) focusing, in particular, on the applications in Quantum Mechanics (in this case the marginals are all the same and represent the...

We investigates the globally stabilizing effects of the geometry of the domain and the solution in studying the regularity issue on the three-dimensional incompressible Navier-Stokes and Euler system. We establish the global existence and uniqueness...

Fourier’s law, or the law of heat conduction, is well-known for nearly two centuries, which states that the energy flux is proportional to the temperature gradient. However, the rigorous derivation of Fourier’s law from microscopic Hamiltonian...

When a sequence of numbers is slowly converging and when it is impossible to have access to the process producing it, it can be transformed, by a sequence transformation, into a new sequence which, under some assumptions, converges faster to the same...