Dr Susana Gomes

Susana Gomes

Associate Professor

Office: B1.05 (Zeeman Building)
Phone: +44 (0)24 765 28320
Email: Susana dot Gomes at warwick dot ac dot uk

Teaching Responsibilities 2024/25:

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

O.A. Holroyd, R. Cimpeanu, S.N. Gomes, Linear quadratic regulation control for falling liquid films, SIAM Journal of Applied Mathematics 84(3): 940-960, 2024.
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:

Invited speaker at a mini-symposium on 'Dynamics on complex networks' at the BMC-BAMC 2025, Exeter, June 23-26, 2025.
Invited speaker for a special session on 'Feedback control and stabilization of nonlinear PDEs' at the 16th Viennese Conference on Optimal Control and Dynamic Games, Vienna, Austria, July 15-18, 2025.
Invited speaker at the conference 'Global Portuguese Mathematicians', Lisbon, Portugal, July 28-30, 2025.
Invited speaker at the International Summer School in Mathematical Biology, Shanghai, China, August 18-22, 2025.
Invited speaker at a mini-symposium on 'Inference Methodologies for High-Dimensional and Multiscale Stochastic Systems' at the ENUMATH 2025 conference, Heidelberg, Germany, September 1-5, 2025.
Lecturer at the Autumn School 'From microscopic dynamics to continuum limits', Vrije Universiteit Amsterdam, The Netherlands, October 20-25, 2025.