Mathematics Dept.
  Partial Differential Equations

Partial Differential Equations (PDEs) are present in many mathematical models that describe real phenomena in Science, Engineering and Economics. Some types of PDEs have been so well studied because of their prevalence in applications that they have become "standard" tools for Applied Mathematicians, Engineers and Economists. However, sometimes changing a model even slightly to try and get more accurate predictions of the real phenomenon can lead to PDEs with very different behaviour. Our group studies the analytic and geometric properties of solutions to these less standard PDEs.