My current research is focused on parameter estimation in models for pedestrian dynamics via optimization or MCMC methods.
I am also one of the Mathematics Postdocs and Fellows representatives. Check the Maths Postdocs Website for relevant events in our Department, as well as the PFDC website for events organised for Postdocs and Fellows across college, including social events, workshops and training.
My research interests are broadly in the area of applied analysis. I am interested in the analysis and control of deterministic and/or stochastic partial differential equations which model natural effects and are therefore important for industrial, biological or socio-economical applications.
Current projects include inverse problems in the context of pedestrian dynamics, the use of feedback controls to stabilise and control the solutions to various thin film flow models or surface growth, and analysis of systems of interacting diffusions in the mean-field limit.
Gomes SN, Pavliotis GA, 2018, Mean Field Limits for Interacting Diffusions in a Two-Scale Potential, Journal of Nonlinear Science, Vol:28, ISSN:0938-8974, Pages:905-941
et al., 2017, Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation, Physica D-nonlinear Phenomena, Vol:348, ISSN:0167-2789, Pages:33-43
Gomes SN, Papageorgiou DT, Pavliotis GA, 2017, Stabilizing non-trivial solutions of the generalized Kuramoto-Sivashinsky equation using feedback and optimal control, Ima Journal of Applied Mathematics, Vol:82, ISSN:0272-4960, Pages:158-194
Gomes SN, Tate SJ, 2017, On the numerical solution of a T-Sylvester type matrix equation arising in the control of stochastic partial differential equations, Ima Journal of Applied Mathematics, Vol:82, ISSN:0272-4960, Pages:1192-1208
et al., 2016, Stabilising falling liquid film flows using feedback control, Physics of Fluids, Vol:28, ISSN:1070-6631