# Research: Analysis and Differential Equations

The analysis/differential equations group conducts research in theory and applications of ordinary and partial differential equations and dynamical systems. The areas of research include:

- differential equations (ODEs and PDEs)

- difference equations

- dynamical systems

- ergodic theory

- fluid dynamics

- functional analysis

- long time behavior of dynamical systems

- modeling in mathematical biology

- nonlinear PDEs and applications

- stochastic ODEs and PDEs

###### Tenured and tenure-track faculty:

- Bruck, Ronald E. (nonlinear functional analysis, ergodic theory)
- Friedlander, Susan (fluid mechanics and partial differential equations)
- Haydn, Nicolai (dynamical systems, ergodic theory)
- Kukavica, Igor (partial differential equations, nonlinear dynamics, fluid dynamics)
- Sacker, Robert (ordinary differential equations, difference equations, infinite dimensional dynamical systems, applied mathematics, mathematical biology)
- Vorel, Zdenek (functional analysis)
- Ziane, Mohammed (partial differential equations, geophysical dynamics, Navier-Stokes equations, stochastic partial differential equations)

###### Other faculty with interests in analysis/differential equations:

###### Postdoctoral associates:

- Gupta, Chinmaya (dynamical systems)
- Rusin, Walter (PDEs)

###### Graduate students:

- Garcia-Torres, Selenna (dynamical systems)
- Ignatova, Mihaela (PDEs)
- Ko, Milton (dynamical systems)
- Ostrovskii, Vitalii (vortex dynamics)
- Pei, Yuan (PDEs)
- Reis, Ednei (PDEs)
- Wasilewska, Katarzyna (dynamical systems)
- Xu, Fei (dynamical systems)