Our research group in mathematical analysis, modeling and computation focus on a broad range of nonlinear and differential equations that arise in physical and engineering applications. The analysis of these equations lies on the current frontier of mathematical and computational research, and it also plays an important role in the numerous areas of physics, engineering, and in the high technology sector.
Our expertise covers the fields of Hamiltonian partial differential equations, dynamical systems, spectral theory, fluid dynamics, stability or nonlinear waves, optimization and control, and numerical methods. In addition to questions of interest to mathematicians, we address applications to fiber optics communications, nonlinear photonic crystals, Bose-Einstein condensates, superconductivity, flow control, turbulence, vortex dynamics, inflationary cosmology, physical photochemistry, numerical weather prediction, and physical oceanography. We hold collaborative interdisciplinary research with our research counterparts in physics and engineering departments.
Our research group constitutes the Applied and Industrial Mathematical Sciences (AIMS) Laboratory, within the Department of Mathematics, McMaster University.