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.