Mailing Address:
Department of Mathematical Sciences
4400 University Drive, MS3 F2
George Mason University
Fairfax, Virginia, 22030
RESEARCH AREAS
The focus of my research is to develop mathematical modeling and
scientific computing techniques to study problems arising in the
areas of fluid mechanics, biology and materials science. I am particularly
interested in applications where hydrodynamics are
coupled to phase transformation processes. These problems can often
be formulated in terms of ordinary or partial differential equations
and typically involve free boundaries. The methods I use
to study these problems include asymptotic and perturbation methods,
bifurcation and stability techniques, and numerical techniques.