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:

• Baxendale, Peter
• Haskell, Cymra
• Lin, Florence
• Lototsky, Sergey
• Mikulevicius, Remigijus
• Newton, Paul

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)