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Seminar: Evolution PDEs Arising in Multifluid-multiscale Flows

Event Details:

  • Date:          Tuesday, 2 May 2023
  • Time:         Starts: 13:00
  • Venue:       This seminar is held as a hybrid event.  You are welcome to join us at the NTL Events Room, The Cyprus Institute.
                       Otherwise please, connect to our live stream of the discussion, available on Zoom (Password: VsSCz1)
  • Speaker:    Professor Demetrios Papageorgiou, Imperial College London

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CaSToRC, the HPC National Competence Centre,
 invites you to the SimEA Seminar Series



Viscous multilayer shear flows of immiscible liquids can become unstable due to the presence of interfaces. The nonlinear patterns that emerge are complex and extreme events such as interface pinching and/or wall touching are possible. It is of interest, therefore, to develop reduced dimension and reduced parameter nonlinear models that can be used to study the dynamics and quantify solutions and allied phenomena.

In this talk, Prof Papageorgiou will describe how asymptotic analysis can be used to derive classes of equations that couple thin and thick regions and produce nonlocal PDEs. The physical origins can be free-stream shear, electric or magnetic fields etc. The particular case of two-layer viscous flows in channels will be considered in detail and comparisons of the nonlocal equations with experiments will be shown that confirm their usefulness. Finally, he will discuss models that describe multilayer extrusion processes that in many cases support slip at the interface between viscous fluids. Such slip is the viscous analogue of classical inviscid slip that leads to Kelvin-Helmholtz instability. It will be shown that the viscous case also supports short-wave instabilities, albeit not catastrophic. Nonlinear aspects will also be discussed.


About the Speaker

Demetrios PapageorgiouDemetrios Papageorgiou is Professor of Applied Mathematics at Imperial College London. He is a Fellow of the American Physical Society and of the Institute of Mathematics and its Applications (IMA). He is Co-Editor in chief of the IMA Journal of Applied Mathematics.

More information can be found here.




SimEA logo                    European Union's Horizon 2020 Research and Innovation Programme

The SimEA project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No. 810660




The seminar will be in English and the event is open to the public.
This seminar is available online only.  You may connect to our live stream of the discussion, available on Zoom (Password: VsSCz1).
Images and/or recordings of our open public events may be used by The Cyprus Institute for dissemination purposes including print and digital media such as websites, press-releases, social media, and live streaming.


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Additional Info

  • Date: Tuesday, 2 May 2023
  • Time: Starts: 13:00
  • Speaker: Professor Demetrios Papageorgiou, Imperial College London

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