Brian Spencer

 
                  Brian Spencer 
                      
                      Professor  

                    Department
                        of Mathematics 

                    Mathematics
                      Building, Room 319  

                    University at
                        Buffalo 

                    Buffalo, NY
                      14260-2900   
 
email: spencerb buffalo.edu 

                      web:
                        www.math.buffalo.edu/~spencerb 

                      tel: (716)
                        645-8805 

                      fax: (716)
                        645-5039

                        office

                          hours

             Spring 2013
                teaching:

            MTH 306 -
                      Introduction to Differential Equations

                    MTH
                        444/544 - Fundamentals of
                          Applied Mathematics II

              Fall 2013 teaching:

            MTH 539 - Methods of
                  Applied Mathematics I

              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:  
              instabilities and
                      pattern formation in strained alloy film
                      deposition
formation of quantum
                      dots in strained solid films 
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, facetting.

                  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

                Applied

                  Mathematics at UB

               Service:

            Associate Editor, Journal

                  of Engineering Mathematics