My research focuses on the modeling, analysis, and computation of phenomena arising in physical and biological systems. I am particularly interested in the dynamics of complex fluids (e.g. suspensions, active or otherwise, and biological fluids), and free or moving boundary problems (e.g. bubbles, drops, or solids in flows). The problems are often motivated by experimental studies, and are of interest to a broad scientific community. Recently I often collaborate with experimentalists and we all join our diverse expertises to better understand problems in biology and physics.
RESEARCH INTERESTS:
BioFluid Dynamics, Complex Fluids,
Mathematical Biology, Soft Matter Physics
Numerical Methods for Microscale Hydrodynamics
Scientific Computing and Applied Mathematics
Dynamics in complex and active matter
Chemotaxis in micro-swimmer colonies
Locomotion and interactions of active particles
Mathematical modeling and fast simulations
Numerical methods for fluid-structure interactions
Gallery of interesting images from my work
(you need permission from me or my collaborators before using them)
bacteria self-organize into a spiral vortex when confined inside a drop
(work with Hugo and Ray)
bacteria confined in a channel
(work with Hugo and Ray)
a crystal of three rotors
(work with Petia)
phase separation of counter-rotating sphere rotors
(work with Kyongmin and Petia)
motile particles in porous media
(i.e among obstacles)
(work with Cristina)
dance of the two spinner couples
(work with Petia)