My research interests lie in nonlinear partial differential equations, applied analysis, and numerical analysis, with applications in physical, biological and materials sciences. Specific areas include:
- Network formation in amphiphilic mixtures with applications to lipid bilayer evolution and morphology in polymer electrolyte materials
- Domain coarsening and self similarity in materials science, phase transitions and thin films
- Free boundary problem
Research Projects
- Molecule Solvation
- Complex Amphiphilic Network Structures and Lipid Bilayers
- Coarsening Dynamics of the Degenerate Cahn-Hilliard Equation
Subject areas: Applied & Computational Math.
Current Projects: nonlinear PDEs, applied analysis, numerical analysis