Regular biography
Mary Pugh is a Professor (she/her) in the Department of Mathematics at the University of Toronto. Her research interests are not specified in the available information. She can be contacted via email at mpugh@math.utoronto.ca or through her profile page at https://www.mathematics.utoronto.ca/people/directories/all-faculty/mary-pugh.
Scholar-generated biography
Mary Pugh is a Professor of Mathematics at the University of Toronto, specializing in mathematical analysis and applied mathematics. Her research focuses on the behavior of solutions to partial differential equations, particularly in the context of thin film equations, lubrication approximation, and long-wave instabilities. She investigates regularity, long-time behavior, and singularity formation in these equations, with applications to fluid dynamics and materials science. Her work also includes studies on Hele-Shaw problems, finite-volume methods, and computational modeling of physical systems such as piezoelectric motors and thermoelectric devices. Pugh's research bridges theoretical analysis and numerical simulation, contributing to the understanding of complex physical phenomena through mathematical modeling.