Research: applied mathematics of materials science phenomena
Professor 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:
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.