Fall 2017 Teaching:
MTH 539 Methods of Applied Mathematics I 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:
- shape
transitions in faceted quantum dots
- liquid drop shapes
during VLS nanowire growth
- corner regularizations in crystal growth models
scientific areas of
interest: crystal growth, elasticity, phase
transformations, chemical thermodynamics, fluid
mechanics, strained solid films, solidification,
diffusion, contact angles, dendrites, surface energy
effects, anisotropy, faceting.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.Publications |
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