Research lectures, seminars and events
The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but wish to enquire about attending one of the events please contact the organiser or host department.
|February 2012||April 2012|
Events for 16 March 2012
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The Blackfold Approach is an effective theory for higher dimensional black holes. In this approach black holes are described as materials: they are characterised by speeds of sound, viscosities and elastic moduli. I will explain how to derive this effective theory from first principles in General Relativity by generalising techniques developed in AdS/CFT contexts. Apart from its intrinsic interest, this approach is a dramatic simplification of the Einstein equations that can be used to tackle important open problems of higher dimensional Gravity.
We first present results on the existence and stability of multiple spikes in the case of the Gierer-Meinhardt system in one and two space dimensions. Then we incorporate convection into a reaction-diffusion system of Schnakenberg type and study the effect which the convection has on a single spike solution. We show that the spike is shifted away from the centre of the domain, where the details of the shift depend on the boundary conditions and the rate of convection. We prove that this shifted one-spike solution is stable. Analytical results will be complemented by numerical computations. Biological applications will be outlined. This is joint work with Juncheng Wei.
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