University of Saskatchewan

Abstract The cohesive movement of a biological population is a commonly observed natural phenomenon. With the advent of platforms of unmanned vehicles, such phenomena have attracted a renewed interest from the engineering community. This talk will...

AbstractIn a pioneering paper V. Arnold presented a general framework within which it is possible to employ geometric and Lie theoretic techniques to study a variety of equations of interest in mathematical physics. I will describe how to extend his...

AbstractWe study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by Novikov. Like the Camassa–Holm and Degasperis–Procesi equations, Novikov’s equation has Lax pair representations and admits peakon...

We consider a quantum system (scatterer) which interacts with a sequence of identical, independent quantum systems (scattering probes). The interaction is sequential, one by one. After leaving the scatterer, a quantum measurement is perfomed on each...

AbstractMagneto-hydrodynamic equilibrium and stability calculations (analytical and numerical) for real diverted tokamak configurations are presented. (a) Two families of exact analytical solutions of the Grad-Shafranov equation are presented by...

The CUMC provides an opportunity for undergraduates to meet and share ideas with their peers from across the country and gives an introduction to the research process and to new and exciting topics in mathematics.

Elastic effects on the hydrodynamic instability of inviscid parallel shear flows are investigated through a linear stability analysis. We focus on the upper convected Maxwell model in the limit of infinite Weissenberg and Reynolds numbers...

Abstract Standard numerical integrators, such as the Runge-Kutta family of explicit finite-difference methods, are known to exhibit numerous scheme-dependent instabilities and generally fail to preserve some of the main essential qualitative features...

We analyze a coin-tossing model used to justify the sale of constant proportion debt obligations (CPDOs) and prove that it was impossible for CPDOs to achieve the Cash-In Event. In the best-case scenario in which the coin is two-headed, we show that...

The study of localized waves has a long history dating back to the discoveries in the 1800s by Russell, Boussinesq and Korteweg-deVries(KdV) describing water waves in shallow water. In the 1960s researchon the KdV equation led to the concept of...