Welcome to the Melnik Group Website

By developing tools and methods of mathematical modeling and by applying them along with two other research methodologies based on theory and experiment, we seek a better understanding of new phenomena and processes in studying engineering, physical, and biological systems. Our focus is on coupled multiscale phenomena and processes. Read more...

Coupled Multiscale Phenomena and Processes

Some of the most important and challenging problems in science and engineering are coupled problems. The coupling is pronounced at three basic levels: (i) the level of field coupling as it is the case in thermo-elasticity, electro-elasticity and in many other areas of applications, (ii) the level of coupled effects between different parts of the system, and/or (iii) the level of coupling between different spatial/spatio-temporal scales at which the natural or man-made system, that is being studied, operates. This coupling brings to life new phenomena, the phenomena which are not amenable to an adequate description with conventional mathematical models, traditionally developed without accounting for the coupled nature of the problem. At the M²NeT Lab, we focus on the development of coupled mathematical models for addressing fundamental questions of science and solving new problems in science and engineering. We study coupled phenomena, effects, and processes that are becoming increasingly important in the areas of nano- and bio-nano technologies, in new technologies based on smart materials and structures, biocompatible materials and bio-inspired systems, and in other areas. Read more...

Mailing Address, Phones, and Fax:

M²NeT Laboratory, Head,
Professor Roderick Melnik,
Wilfrid Laurier University,
75 University Avenue West,
Waterloo, ON,
Canada, N2L 3C5

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Tel.: +1-519-884-1970 (ext. 2801 - lab)
Tel.: +1-519-884-1970 (ext. 3662 - office)
Fax: +1-519-884-9738

Roderick Melnik is Professor and Tier I Canada Research Chair in Mathematical Modelling. He is also affiliated with the University of Waterloo / University of Guelph as a Professor via the Guelph-Waterloo Institute of Physics, and as an external Professor with Syddansk University. You can contact him via email rmelnik-at-wlu-dot-ca


We study coupled multiphysics effects in quantum dots and other low-dimensional nanostructures with applications ranging from medicine and bio-imaging to quantum computing. Read more...

We work on RNA nanostructures, bio-compatible materials, and the development of mathematical models for bio- and bio-nano- technological applications. Read more...



Our research covers a range of phenomena and processes at different spatio-temporal scales that are becoming increasingly important in new technologies. Read more...