Dr Sophia Demoulini
Fellow in Pure Mathematics

BA (Wooster), MSc (Minnesota), PhD (Minnesota)

I work on partial differential equations (pde's), primarily non-linear evolution equations. One area of interest is the study of evolutionary pde's connected with a non-convex energy in which I have proved the existence of various types of weak solutions, an example of interest being the equations of dynamic viscoelasticity. Another research topic is the analysis of soliton motion in nonlinear field equations such as those arising in Ginzburg-Landau theory, global existence in a Chern-Simons Schrodinger system and more recently in adiabatic limits. A further interest involves regularity of weak solutions of generalised nonlocal harmonic map equations of Skyrme type.