Elliott Sullinge-Farrall
Postgraduate Research Student
MMATH
Academic and research departments
About
My research project
Analysis of 'pressure functionals' and associated PDE in nonlinear elasticityMy project is devoted to considering a variety of problems related to the minimisation of the Dirichlet Energy functional subject to incompressibility type constraints. This leads to investigating the solutions of PDEs, PDIs and variational problems. I am particularly interested in the construction of explicit solutions, extending abstract existence results that are already present in the literature.
Supervisors
My project is devoted to considering a variety of problems related to the minimisation of the Dirichlet Energy functional subject to incompressibility type constraints. This leads to investigating the solutions of PDEs, PDIs and variational problems. I am particularly interested in the construction of explicit solutions, extending abstract existence results that are already present in the literature.
My qualifications
2021
MMath (1st class Hons)
University of Surrey
Affiliations and memberships
AMIMA
Associate Member of the Institute of Mathematics
ResearchResearch interests
- Minimisation of the Dirichlet Energy functional and other similar integral functionals that have polyconvex integrands with respect to the gradient.
- How topological properties of boundary data plays a role in local minimisation of functionals.
- The impact of incompressibility type constraints on the minimisation of functionals and how this transforms convex to polyconvex problems.
Research interests
- Minimisation of the Dirichlet Energy functional and other similar integral functionals that have polyconvex integrands with respect to the gradient.
- How topological properties of boundary data plays a role in local minimisation of functionals.
- The impact of incompressibility type constraints on the minimisation of functionals and how this transforms convex to polyconvex problems.
Teaching
- Mathematical Programming & Professional Skills, Lab (2022-2023 Semester 2).
- Real Analysis II, Tutorial (2022-2023 Semester 1).
- Real Analysis II, Tutorial (2021-2022 Semester 1).
- Maths & Statistics Advice, Drop-In (2021-2023).
- Mathematics Instructor at The Ashcombe School, Dorking, Surrey (2018-2019).