University of Saskatchewan

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...

The surface growth of biological tissues is presently analyzed at the continuum scale of tissue elements, adopting the framework of the thermodynamics of surfaces and in line with Eshelbian mechanics. From a kinematic viewpoint, growth is assumed to...

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...

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...

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...

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...

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...

Abstract The Mayer expansion is a power series expansion that has a central place in statistical mechanics. It is also full of combinatorial miracles that relate it to graphs, forests and branched polymers. I will discuss the background, the results...

Abstract Bosonic many-body models are an important class of mathematical models that are used to study gases of bosonic particles at very low temperatures. I will introduce (i) the physical systems, (ii) one way Physicists formulate the models in...

Abstract Wave phenomena occur on an enormous range of scales, from the sub-quantum mechanical to the astrophysical. This talk will discuss the problem of free surface waves in water, which is a classical problem in mathematical hydrodynamics. We will...