I work in the area of interdisciplinary applied mathematics, also often referred to
as physical applied mathematics and modeling. More specifically, my area of work is the
partial differential equations (PDE)-based modeling in materials science, crystal growth,
and fluid dynamics. This work requires insights into the real-world physical phenomena.
Correspondingly, research is disseminated through the materials science, physics and
engineering journals. Applied mathematics is used (i) to formulate sets of governing PDEs
and boundary conditions, and (ii) in the analytical solutions of simplified models.
For the problems that do not allow analytical treatment, I had developed sophisticated
marker-particle methods for tracking surfaces in 2D and 3D.
Research keywords: Applied mathematical modeling in materials science, crystal growth,
and fluid dynamics; Numerical methods for problems with surfaces and interfaces; Pattern
formation on surfaces and stability; Thin solid and liquid films.
All publications (1998 - present)
Selected recent publications