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.

Activities

Regular Faculty

  • Matthew Gursky

    Professor

    Differential Geometry and Partial Differential Equations

  • Qing Han

    Professor

    Differential Geometry and Partial Differential Equations

  • Alex Himonas

    Professor

    Partial Differential Equations

  • Gerard Misiolek

    Professor

    Global Analysis, Partial Differential Equations

  • Liviu Nicolaescu

    Professor, Director of Undergraduate Honors Math Program

    Topology and Probability

  • Mei-Chi Shaw

    Professor

    Complex Analysis and Partial Differential Geometry

Emeriti Faculty

Graduate Students

  • Carlos Madrid Padilla

  • Ilya Marchenko