Brian Spencer
PhD
Professor
Research Interests
Continuum mechanics and materials modeling; bifurcation and stability; perturbation methods; scientific computing; variational calculus.
Education
PhD, Northwestern University
Research Summary
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:
- shape transitions in faceted quantum dots
- liquid drop shapes during vapor-liquid-solid nanowire growth
- corner regularizations in crystal growth models
Selected Publications
B. J. Spencer, , Journal of Engineering Mathematics, vol 147, art 11 (2024).
W. Wang and B. J. Spencer, Journal of the Mechanics and Physics of Solids, vol 167, art 105003 (2022).
W. Wang and B. J. Spencer, Journal of Engineering Mathematics, vol 127, art 13 (2021).
C. Wei and B. J. Spencer, , Proceedings Royal Society A, vol 473, art 20170308 (2017).
C. Wei and B. J. Spencer, Proceedings Royal Society A, vol 472, art 20160262 (2016).