Affiliation: University of Oslo, Norway Academic Webpage Title: Vortices over bathymetry Abstract: In many regions of the ocean, the flow is dominated by surface-intensified vortices with scales of 10s of kilometers. These interact with bottom topography, often non-intuitive ways. It is possible to predict the mean flow generated by such "geostrophic turbulence" using a simple variational argument. With…
Affiliation: Heriot Watt and National Technical University Athens Academic Webpage Title: Discontinuous Galerkin methods on arbitrarily-shaped elements: stability, analysis, and adaptivity Abstract: I will present a recent generalisation of the popular interior-penalty discontinuous Galerkin (dG) method discretizing general classes of linear and nonlinear advection-diffusion-reaction problems to meshes comprising extremely general, essentially arbitrarily-shaped element shapes. In…
Affiliation: Queen Mary University Academic Webpage Title: Data-Driven Discovery of Fokker-Planck Equation for the Earth's Radiation Belts Electrons Using Physics-Informed Neural Networks Abstract: We use the framework of Physics-Informed Neural Network (PINN) to solve the inverse problem associated with the Fokker-Planck equation for radiation belts' electron transport, using 4 years of Van Allen Probes…
Academic webpage Title: Persistence in Solar Physics Abstract: Persistence, or long memory, is of longstanding interest in solar physics, having first been identified in time series of sunspot numbers in the seminal paper by Mandelbrot and Wallis (1969): “Some long‐run properties of geophysical records”. They used a method called Rescaled Range Analysis (R/S) to determine a…
Academic Webpage Title: Life cycle of mosquitoes and malaria – a journey through asymptotic analysis and monotone systems Authors: J. Banasiak, S. Y. Tchoumi and M. Bime Ghakanyuy, University of Pretoria Abstract: Due to the presence of populations with widely different vital rates, such as mosquitoes and humans, malaria dynamics offers rewarding examples of multiscale models…
Affiliation: Heriot Watt University Academic webpage Title: Resonance and viscous losses in wave energy systems Abstract: Wave Energy Converters (WECs) harness the motion of ocean waves to generate renewable energy, with sometimes complex dynamics underlying their performance. This talk explores the mathematical modelling of two leading types of WECs, built here in Scotland. Each has…
Affiliation: RWTH Aachen Academic Webpage Title: Central finite volume schemes for coupled hyperbolic models Abstract: Various real-world problems in two-phase dynamics, multi-scale processes and networks can be addressed by coupling hyperbolic models at a static interface. We propose a new relaxation based approach for the coupling of general hyperbolic systems, in which the Lax curves…
Affiliation: University of Oxford, UK Academic webpage Title: Aggregation-Diffusion Equations for Collective Behaviour in the Sciences Abstract: Many phenomena in the life sciences, ranging from the microscopic to macroscopic level, exhibit surprisingly similar structures. Behaviour at the microscopic level, including ion channel transport, chemotaxis, and angiogenesis, and behaviour at the macroscopic level, including herding of…
Affiliation: University of Strathclyde, UK Academic Webpage Title: A reduced model for a problem in non-Newtonian fluid mechanics Abstract: We propose a finite element discretisation of a three-dimensional non-Newtonian flow whose dynamics are described by an Upper Convected Maxwell model. First, a one-directional simplification of the UCM problem is made, so the main variables are…
Academic webpage: https://www.ma.imperial.ac.uk/~pberloff/ Title: Oceanic Vortex Pulsars Abstract: Theoretical studies of coherent vortices have a half-century history and in many ways have become classics of geophysical fluid dynamics. Some recent results will be presented on a new class of stable and ever-living coherent vortices on stratified background shears. These features, referred to as "vortex pulsars",…
Academic webpage: https://www.gla.ac.uk/schools/mathematicsstatistics/staff/robertteed/ Title: Numerically modelling the magnetic field generation of Earth’s core Abstract: Planetary magnetic fields are produced by dynamo action through turbulent motions of an electrically conducting fluid within the interior of the planet. Numerical experiments of dynamo action relevant to Earth's magnetic field have produced different regime branches identified within bifurcation diagrams…
Academic webpage: https://www.durham.ac.uk/staff/christopher-prior/ Title: Predicting protein dynamics using writhe Abstract: The advent of AlphaFold has steered the fundamental questions on protein structure towards understanding their dynamics in their native state, rather than the static crystal states routinely predicted. One critical tool in our arsenal is small angle x-ray scattering (SAXS) which allows, with significant modelling,…