Research Interests

Mathematical modeling

Multi-physics and multiscale free boundary problems found in science and engineering. Partial differential equations.

Regular and singular perturbation theory, matched asymptotic expansions, homogenization, numerical methods.

Project Areas:

Fluid dynamics: interfacial fluid dynamics, thin films, flows in porous media.

Heat transfer: liquid-cooled electronics, geothermal energy harnessing, electromagnetic heating of lossy materials

Industrial Mathematics

Centers:

NSF-REU-SIte Director: Research Experiences for Undergraduates in Industrial Mathematics and Statistics

Director, Center for Industrial Mathematics and Statistics (CIMS)

Member, Center for Advanced Research in Drying (CARD), WPI Water Resources Center, and WPI Energy Research Group

Organizing Committee, Mathematical Problems in Industry Workshop