I have moved to the University of Warwick, where I am a Warwick Zeeman Lecturer and also hold a Leverhulme Early Career Fellowship. My new website can be found here.
My current research is focused on parameter estimation in models for pedestrian dynamics via optimization or MCMC methods.
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.
et al., 2019, Dynamics of the Desai-Zwanzig model in multiwell and random energy landscapes, Physical Review E, Vol:99, ISSN:2470-0045
et al., 2019, Optimal Control of Thin Liquid Films and Transverse Mode Effects, Siam Journal on Applied Dynamical Systems, Vol:18, ISSN:1536-0040, Pages:117-149
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
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., 2017, Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation, Physica D-nonlinear Phenomena, Vol:348, ISSN:0167-2789, Pages:33-43