Instability and dripping of electrified liquid films flowing down inverted substrates
Tomlin, R Cimpeanu, R Papageorgiou, D (20 Jun 2019)

Have you ever picked up a glass to find that the coaster it was resting on remains stuck to the bottom? If so, then you have experienced the ability of fluid to stick two surfaces together. When the bottom of the glass is wetted, for example by accidentally spilling a drink, then this fluid can fill the gap between the glass and coaster. The surface tension of the liquid then provides a pulling force on the coaster that keeps it attached to the glass.

Relationship between activation of the sympathetic nervous system and renal blood flow autoregulation in cirrhosis.
Stadlbauer, V Wright, G Banaji, M Mukhopadhya, A Mookerjee, R Moore, K Jalan, R Gastroenterology volume 134 issue 1 111-119 (Jan 2008)

From nanophotonics to aeroplanes, there are many applications that involve scattering in unbounded domains. Typically, one is interested in situations and geometries where there are no known analytical solutions and one has to resort to numerical algorithms to solve the problem using a computer. Such numerical algorithms should give physically meaningful solutions and hopefully obtain them with the minimal computational cost and time.

An optimal transport problem with backward martingale constraints motivated by insider trading
Kramkov, D Xu, Y (07 Jun 2019)

Certain inflammatory and infectious diseases, including atherosclerosis and tuberculosis, are caused by the accumulation inside immune cells of harmful substances, such as lipids and bacteria. A multidisciplinary study published in Proceedings B of the Royal Society, by researchers from the Universities of Oxford and Sydney, has shown how cell cannibalism contributes to this process.

Sketch of the Andrew Wiles Building by Andy Welland
The Departmental Prospectus for undergraduate Mathematics
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