University of Alberta

In recent years, multi-scale modeling and computation have been widely used in the study of complex problems arising from science and engineering. The first lecture begins with an introduction of homogenization and main idea of multi-scale methods...

Multi-scale asymptotic methods are investigated for the parabolic equation with rapidly oscillating coefficients arising from heat transfer in composite or porous media. For the dual-phase-lag heat transfer model in composite media, we first applied...

Morphogens (ligands) are molecular substances synthesized at some localized source and bound to cell surface receptors and other molecules as they are transported away from their source. The concentration gradients of different morphogen-receptor...

We first discuss the scale invariance and electromagnetic modeling at nano-scale. For 3D time-harmonic Maxwell’s equations and 3D time-dependent Maxwell’s equations in composite materials, we presented the multi-scale asymptotic expansions and...

The size effects at micro/nano-scale are first discussed. The scale invariance and the applications in mathematical modeling at nano-scale is then presented. An important concept such as the scale gap is introduced and we particularly discuss the...

We first introduce the background and motivation of Hamiltonian systems and symplectic geometry. The basic ideas and the key steps on developing symplectic geometric algorithms are presented. Applications of symplectic geometric methods for...

Parallel multi-layer flow configurations occur in transport, co-extrusion and coating applications. In the industrial setting throughput (i.e. flow rate) is often limited by the onset of interfacial instabilities. Here we focus on a core annular flow...

Continuum traffic theories whereby individual vehicles are collectively modeled have enjoyed a rich history since their popularization by M.J. Lighthill and G.B. Whitham. These models are able to elucidate the dynamics of ``phantom jams,'' transient...

Atmospheric dispersion refers to the transport of contaminants in the atmosphere under the influence of advection (due to the wind) and turbulent diffusion. When the contaminant is emitted from a stationary point source, then the governing advection...

The main aim of the talk is to describe how to embed the experimental results recently obtained studying the detachment force of single adhesion bonds in a multiphase model developed to describe the growth of tumours and tissues in general. In order...