Partial Differential Equations

Partial differential equations is a many-faceted subject.  Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations.  Examples are the vibrations of solids, the flow of fluids, the diffusion of chemicals, the spread of heat, the interactions of photons and electrons, the radiation of electromagnetic waves. Today, partial differential equations have developed into a vast subject that interacts with many other branches of mathematics, such as complex analysis, differential geometry, harmonic analysis, probability, mathematical physics, and mathematical finance and economics.

Math Faculty

Areas of Research

Matthew Gursky Differential Geometry and Partial Differential Equations
Qing Han Differential Geometry and Partial Differential Equations
Alex A. Himonas Partial Differential Equations
Gerard K. Misiolek Global Analysis, Partial Differential Equations
Liviu Nicolaescu Probability
Mei-Chi Shaw Complex Analysis and Partial Differential Equations

Emeritus Faculty

 
Nancy K. Stanton Complex Geometry, Several Complex Variables and Partial Differential Equations

Activities

 
PDE, Complex Analysis and Differential Geometry Seminar