University of Alberta

Let D(c; r) be the smallest disk, with center c and radius r, containing all zeros of the polynomial p(z) = (z–z1)(z–z2) · · · (z–zn). In 1958, we conjectured that for every zero zk of p(z), the disk D(zk; r) contains at least one zero of the...

In this talk I will discuss some recent analytical and numerical results regarding global regularity for the 2D incompressible magnetohydrodynamics equations with partial dissipation, that is when the dissipation term is only present in either the...

The heat transfer problem in composite materials has been investigated which contains the nano-scale interface. A molecular dynamics-continuum coupled model is developed to study the heat transport from the macro- to the micro-scales. The model...

Industrial partners often have very high expectations concerning numerical modeling: accuracy, efficiency, robustness and, whenever possible, low computation costs and this, for very complex problems. In the last few years, we have concentrated our...

Ferrohydrodynamics describes the dynamics of ferrofluids -- colloids with nano-sized magnetic particles. Since its discovery in the 1960s, such fluids have found many applications in science and engineering. On the other hand, the physical modeling...

There are two competing descriptions of nematic liquid crystaldynamics: the Ericksen-Leslie director theory and the Eringenmicropolar approach. Up to this day, these two descriptions haveremained distinct in spite of several attempts to show that...

In this talk, we will focus on the global regularity problem concerning some generalized versions of the Boussinesq system. The problems are raised from a group of dissipative operators which are in the slightly super-critical regime. A generalized...

The main goal of the conference is to bring together mathematicians and physicists who work on ideas related to string theory. String theory, as well as quantum field theory, has contributed a series of profound ideas which gave rise to entirely new...

The extended W-algebra of type sl_2 at positive rational level is a vertex operator algebra that is of great interest in logarithmic conformal field theory. In this talk I will give an overview of how it is constructed as a subvertex operator algebra...

In this talk I will present some recent results on the conformal formulations of the Einstein constraint equations on compact manifolds with boundary. This is an important problem in general relativity, and it is particularly important in numerical...