Dr Susana Gomes
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Susana GomesAssociate Professor
Office: B1.05 (Zeeman Building) |
Teaching Responsibilities 2024/25:
Term 1: MA3L2: Optimisation
Term 2: MA145 Mathematical Methods and Modelling 2
Research Interests:
My research interests are in applied analysis, with a focus on modelling and control of problems described by partial differential equations (PDEs) and with relevance to applications in the physical, life, and social sciences. The problems I work on usually involve an interplay between modelling, applied analysis and numerical simulations of PDEs and (systems of) ODEs or SDEs, often in multi-scale scenarios. Current projects include
- Control of interfacial flows using hierarchies of models
- Modelling and control for pedestrian dynamics (See a Warwick press release from when I participated in the STEM for Britain competition.)
- Opinion dynamics on evolving social networks
I combine techniques such as control, stabilisation, and optimisation (including Bayesian inverse problems) in the context of each of the projects above. For more information on my research, visit my research page.
Here are links to my Google Scholar, ResearchGate, arXiv, and ORCID profiles.
Recent research grants:
- EPSRC Small Grant EP/V051385/1: A new hierarchical modelling framework for active control: making waves in interfacial flow-based technologies. Co-I, with Dr. Radu Cimpeanu as PI. 02/2021 - 01/2022.
- UKRI-EPSRC COVID-19 Call EP/V025899/1: COVID-19: Optimal Lockdown, Co-I, with Dr Ritabrata Dutta as PI and Dr. Dante Kalise as Co-I. 07/2020 - 01/2022.
- Leverhulme Early Career Fellowship ECF-2018-536: Parameter estimation in macroscopic models for pedestrian dynamics. 09/2018-09/2021.
Most relevant recent publications:
For a full list of publications and links to all articles, see my publications page
- A.J. Nugent, S.N. Gomes, M.-T. Wolfram, On evolving network models and their influence on opinion formation, Physica D - Nonlinear Phenomena, 456, 133914, 2023.
- A.W. Wray, R. Cimpeanu, S.N. Gomes, Electrostatic control of the Navier–Stokes equations for thin films, Physical Review Fluids, 7:L122001, 2022.
- R. Cimpeanu, S.N. Gomes, D.T. Papageorgiou, Active control of liquid film flows: beyond reduced-order models, Nonlinear Dynamics, 104(1):267-287, 2021.
- R.J. Tomlin, S.N. Gomes, G.A. Pavliotis, D.T. Papageorgiou, Optimal control of thin liquid films and transverse mode effects, SIAM Journal of Applied Dynamical Systems, 18(1), 117–149, 2019.
- S.N. Gomes, A.M. Stuart, M.T. Wolfram, Parameter estimation for macroscopic pedestrian dynamics models from microscopic data, SIAM Journal on Applied Mathematics 79(4):1475-1500, 2019
- S.N. Gomes, G.A. Pavliotis, Mean field limits for interacting diffusions in a two-scale potential, Journal of Nonlinear Science 28(3) 905-941, 2018.
Recent and upcoming workshops/conferences/seminars:
- Co-organiser (with C. Guiver and B. Hamzi) of the UK Mathematical Systems and Control Theory Network.
- Includes First meeting of the network, Warwick, September 2-3, 2024.
- MACSI Seminar, University of Limerick, November 15, 2024.
- Invited speaker at the MFO Mini-Workshop on 'High-Dimensional Control Problems and Mean-Field Equations with Applications in Machine Learning', Oberwolfach, Germany, December 8-13, 2024.
- Imperial-UCL Numerics Seminar, London, February 2025.
- Applied PDEs Seminar, Imperial College London, March 2025.
- International Summer School in Mathematical Biology, Shanghai, China, August 2025.