Academic webpage Affiliation: University of Dundee (soon to be in St Andrews) Seminar title: A posteriori error Control and Adaptivity for problems with Finite Time Blowup Abstract: In this talk we discuss numerical strategies inspired by problems exhibiting very sharp concentrations, e.g., tumor growth and chemotaxis. More specifically, we present results on the a posteriori…
Affiliation: University of Cyprus Academic webpage Title: An exposition on hyperbolic balance laws with application to an Euler-type flocking model Abstract. Mathematical models introduced to capture the emergent behavior of self-organized systems have brought new mathematical challenges and most studies on flocking models investigate so far smooth solutions. In this talk, we will first have an overview of the theory of entropy weak solutions…
Affiliation: Coventry University Academic Webpage Title: Generating tornado-like vortices in Coriolis-centrifugal convection Abstract: Tornadoes are the most intense atmospheric vortices and have been observed on all continents of Earth (except Antarctica), and even on Mars. The most dangerous tornadoes develop within the mesocyclone of supercell thunderstorms. But what makes a mesocyclone tornadic or not remains…
Affiliation: University of Birmingham and Neuronostics Ltd Academic Webpage Title: Computational biomarkers for epilepsy from clinically non-informative EEG Abstract: In this talk, I will provide an overview of several studies where computational analysis of routine clinical recordings has led to novel set of candidate biomarkers for seizures and epilepsy. By using a dynamic network model…
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…