Research

Hyperspectral imaging

Nonlinear Dynamics

• Population dynamics of ancient civilizations
• Dynamics of semiconductor lasers with external cavity

Combustion Theory

• Compressible multiphase reactive flow in granular explosives
• Gas-solid nonequilibrium in filtration combustion
• The reactive Rayleigh-Benard problem
• Fingering instability in filtration combustion

Fluid Mechanics

• Gas bubbles in liquids and acoustic cavitation
• Thermal and fluid processes during femptosecond laser ablation

Condensed Matter

• Inferring Gibbs free energies of ternary mixtures from light scattering data
• Liquid structure of concentrated eye lens protein mixtures

• Self assembly of quantum dots in strained solid films
• Agent based modeling of semiconductor yield
• Modeling and Analysis for Atomistic/Continuum Coupling
• Multiscale Modeling and Simulation of Crack Propagation
• Replica Time Integrators

Inverse Problems

• Microlocal analysis for non-destructive imaging
• Elliptic inverse problems with application to elasticity imaging

Microelectromechanical Systems (MEMS)

• Background Summary

• Dynamics of micro-energy harvesting

• Temperature-dependent vibrations of bilayer microbeams
• A thermal actuator for liquid drop emitters

Mathematical Biology

• Wound healing
• Computational epitope mapping

Image Processing

• Hyperspectral image segmentation

• Detection of anomalies in hyperspectral images

• Target detection in hyperspectral imaging

Network Analysis

• Propagation of rumours on social networks

• Computational epidemiology on social networks

• Unstructured peer-to-peer networks

• Synchronization in complex systems

• Networking concepts in nano-structure growth dynamics

• A multi meshed tree algorithm for mobile ad hoc networks