## Mathematics Postgraduate Seminars

The Mathematics Postgraduate Seminars are a series of talks given by and for postgraduates in mathematics at the
University of Exeter. The seminars aim to give postgraduates the opportunity to practise presenting research in an informal and friendly environment, and
to learn about the research taking place across the department. All postgraduates are invited to present at and attend the seminars. If you would like to
give a talk, please get in touch with Andrew Darlington.

Seminars will take place at 2.30pm, unless indicated otherwise. The schedule for the current term is given below.

Wednesday 25th May 2022 (Online)
**Chris Best**

**(Slides)**

Wednesday 1st June 2022 (Harrison 209)
**Manohar Kalluri**

**(Slides)**

Wednesday 8th June 2022 (Harrison 250)
**Surabhi Desai**

Wednesday 15th June 2022 (Harrison 209)
**Azza Al Gatheem**

**(Slides)**

In our study, we incorporate a mean magnetic field, which can be x-directed ("horizontal") or y-directed ("vertical") in our two-dimensional system and gives an MHD version of Kolmogorov flow. In a basic equilibrium state, magnetic field lines are straight for the case of vertical field and sinusoidal for horizontal field with an additional component of the external force balancing the resulting Lorentz force. As the basic state is independent of the y-coordinate we use Fourier analysis to study waves of wavenumber k in the y-direction, using the methods of classical stability theory and numerical solution of eigenvalue problems. We present some results using analytical approximations in the limit of k to 0, that is for large-scale jets. We also present some nonlinear results making use of the package Dedalus.

Wednesday 22nd June 2022 (CANCELLED)
**Liam Watts**

Thursday 30th June 2022 (Amory B308) **4.30pm**
**Viv Atureta**

This research explores an approach which uses vector autoregressive model (VAR) in the problem of precipitation nowcasting based on the initial intensity and velocity. A new approach to radar nowcasting that we are exploring is the formulation of numerical solutions of the stochastic advection equation as a vector autoregressive (VAR) process with a sparse evolution operator.

My talk will be looking at the physical-dynamical system represented by the advection equation: it turns out there is a nice relationship between solving this SPDE and the vector autoregressive process which I will show.