My current research interests center around partial differential equations, calculus of variations, and their applications in complex fluids, biology and material sciences.
Energetic Variational Approaches, Statistical Physics and Thermodynamics
Multiscale Modeling and Analysis
Biology and Physiology: ion channel for charge transportation, muscle contraction, tumor growth
Liquid Crystals, Complex Fluids with Microstructures
Mixtures and Interfaces, Grain Growth, Evolution of Surfaces, Dynamic Boundary Conditions
Viscoelastic Fluids and Polymeric Material
Active Materials and Reactive Fluids, Chemical Reaction Kinetics
Thermodynamics and Temperature Effects