Gabriele Incorvaia and Daniel Han - Informal Applied Mathematics Seminar
| Dates: | 6 March 2020 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | Current University students |
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The Informal Applied Mathematics seminar will continue with a double bill from Gabriele Incorvaia and Daniel Han. Talks will take place in Frank Adams 2 (next to the Alan Turing Building's kitchen), with complimentary hot drinks and biscuits from 2.45pm on the atrium bridge. Title and abstracts for the talks can be found below.
Gabriele Incorvaia: Tracking targets from indirect through-the-wall radar observations
Abstract: In this talk we address the practically important task of identifying and localizing moving objects (e.g. people) inside a building from through-the-wall radar data. We combine modern regularization techniques for solving non-linear inverse scattering problems with a Kalman filter approach based on indirectly obtained observations. For a given proof-of-concept setup, this scheme is promising for accurately tracking moving targets in almost real time.
Daniel Han: Ultra-slow aggregation due to space dependent fractional exponents
Abstract: Nature is full of patterns and these are usually generated by a physical, often random, process causing a non-uniform distribution of material. Yet, the patterns that we see are very robust, e.g. cheetah or giraffe spots. To find new mechanisms which can generate these patterns, we delve into fractional diffusion equations. We find the asymptotic representation of the solution of the variable-order fractional diffusion equation, which remains unsolved since it was proposed in A. V. et. al., J. Phys. A, 2005. We identify a new advection term that causes ultra-slow spatial aggregation of subdiffusive particles due to dominance over the standard advection and diffusion terms, in the long-time limit. This uncovers the anomalous mechanism by which non-uniform distributions can occur. We perform experiments on intracellular lysosomal distributions and Monte Carlo simulations and find good agreement between the asymptotic solution, particle histograms and experiments.
FYI: The Informal Applied Seminar is a weekly seminar for all applied mathematics students in the department. We get together on a Friday afternoon for students to speak about what they're working on at the moment. It's not formal - lecturers and staff don't attend - so it can be a good place to get feedback on your talk before an upcoming conference or just good to practise for public speaking in general. We generally meet on the bridge (outside the Alan Turing building first-floor kitchen) 15mins before the start and head to Sandbar for a drink afterwards.
Travel and Contact Information
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Frank Adams 2
Alan Turing Building
Manchester
