School of Mathematical Sciences

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Anna Kalogirou

Assistant Professor in Applied Mathematics, Faculty of Science



  • April 2019-Present: Assistant Professor in Applied Mathematics, University of Nottingham (UoN)
  • Jan. 2017-Jan. 2020: Leverhulme Early Career Fellow, University of East Anglia (and UoN from Apr. 2019)
  • June 2014-Dec. 2016: Research Fellow, University of Leeds
  • Dec. 2010-June 2014: Research postgraduate student, Imperial College London

Expertise Summary

Dr Kalogirou's research interests are in fluid dynamics, in particular problems involving moving interfaces or free-surface flows. She is interested in using mathematical modelling, asymptotic analysis and numerical computations to study complex fluid mechanics problems with real-life applications.


  • multi-phase flows
  • multilayer shear flows
  • interfacial instabilities
  • thin-film flows
  • surfactants
  • Marangoni instability
  • chaos
  • nonlinear waves
  • Hamiltonian mechanics
  • fluid-structure interaction
  • breaking waves
  • finite element methods
  • pseudo-spectral methods

Teaching Summary

Module convener for Advanced techniques for Differential equations (MATH4012)

Selected Publications

Past Research

As part of a Leverhulme Early Career Fellowship, Dr Kalogirou has worked towards broadening our understanding of the effect of surfactants on the complex behaviour of small-scale multi-layer flows. This work was mainly in collaboration with Dr Mark Blyth (UEA). The primary aim of the study was to suggest a mechanism for controlling multi-layer flows using surfactants, and ultimately to facilitate our ability to systematically control flows across scales.

Dr Kalogirou has also worked on the mathematical and numerical modelling of nonlinear water waves and their impact on moving ships, in collaboration with Prof Onno Bokhove (Leeds). The research employed variational methods to derive appropriate equations governing the evolution of the free water surface, coupled to the dynamics of the ship. Fast and accurate numerical simulations have been performed based on a (dis)continuous Galerkin finite element methodology, with aim to investigate various problems including the generation and interaction of rogue waves and their impact on floating bodies such as wave-energy devices or ships. Nonlinear wave solutions have also been correlated to rogue waves observed in wave-tank experiments.

As a PhD student working under the supervision of Prof Demetrios Papageorgiou (Imperial), Dr Kalogirou performed research that shed light on the role of insoluble surfactants on the interfacial instabilities encountered in two-fluid shear flows. The research followed a synergistic approach combining different techniques such as asymptotic analysis and numerical computations, with particular aim to explore the underlying nonlinear dynamics. An important result of this work was that in particular cases, the observed nonlinear wave solutions demonstrated good agreement with wave structures found in two-fluid shear flow experiments.

School of Mathematical Sciences

The University of Nottingham
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Nottingham, NG7 2RD

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