Fall 2015
teaching:MTH 306 - Intro to Differential Equations Research: applied
mathematics of materials science phenomenaProfessor Spencer's research interests are in
the applied mathematics of materials. The research
combines physics-based mathematical models with
asymptotic, analytic and numerical methods to describe
growth processes, instabilities and microstructure
formation in materials. Specific research programs
include:
- instabilities and pattern formation in strained alloy film deposition
- formation of quantum dots in strained solid films
- corner regularizations in crystal growth models
mathematical areas of interest: free boundary and moving boundary problems, continuum mechanics, morphological instability, pattern formation, differential equations, integral equations, perturbation methods, singular perturbations, numerical methods, spectral methods, finite difference methods, numerical stability, bifurcation and stability, energy minimization, variational calculus. CV Service: Associate Editor, Journal
of
Engineering Mathematics
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