Applied Analysis and Differential Equations

Professors Caginalp, Chadam , Chen, Hastings, McLeod, Rubin, Troy, Vainchtein and Wang.

The department is a leader in the analysis of systems of nonlinear differential equations that arise in modeling a variety of physical phenomena. These include problems in biology, chemistry, phase transitions, fluid flow, flame propagation,diffusion processes, and pattern formation in nonlinear stochastic partial differential equations. Research in these areas is aided by a variety of computational facilities including Sun Microsystem workstations and the massively parallel machines at the Pittsburgh Supercomputing Center.