My research activity is focused on the study of nonlinear Partial Differential Equations arising from Fluid Mechanics, Biology and Materials Science. I am currently interested in modeling and theoretical analysis of Diffuse Interface (Phase Field) problems describing the evolution of two-phase fluid flows driven by surface tension.
My main research directions are:
- Navier-Stokes-Cahn-Hilliard systems
- Hele-Shaw and porous media flows with applications to tumor growth dynamics
- Nonlocal models for long-range particle interactions
- Mutiphysics of complex fluids
Research Interests : Analysis of PDEs, Fluid Mechanics, Diffuse Interface Theory in Continuum Mechanics.