COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Aggregation-pattern due to repulsive-aggregating interaction potentials

## Aggregation-pattern due to repulsive-aggregating interaction potentialsAdd to your list(s) Download to your calendar using vCal - Fellner, K (Cambridge)
- Friday 10 September 2010, 15:50-16:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Partial Differential Equations in Kinetic Theories We study non-local evolution equations for a density of individuals, which interact through a given symmetric potential. Such models appear in many applications such as swarming and flocking, opinion formation, inelastic materials, .... In particular, we are interested in interaction potentials, which behave locally repulsive, but aggregating over large scales. A particular example for such potentials was recently given in models of the alignment of the directions of filaments in the cytoskeleton. We present results on the structure and stability of steady states. We shall show that stable stationary states of regular interaction potentials generically consist of sums of Dirac masses. However the amount of Diracs depends on the interplay between local repulsion and aggregation. In particular we shall see that singular repulsive interaction potentials introduce diffusive effects in the sense that stationary state are no longer sums of Diracs but continuous densities. This is comparted to effects of added linear diffusion. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
Note that ex-directory lists are not shown. |
## Other listsRequired lists for MLG The Yerushah Lecture 2012 Cambridge Finance Workshop Series## Other talksSeminar – Why do policymakers seem to ignore your evidence? The Mid-Twentieth Century Babyboom and the Role of Social Interaction. An Agent-Based Modelling Approach Metabolic dysregulation & skeletal muscle insulin resistance: Implications for nutrition & ageing Phenotypic models of T cell activation Brain tumours - demographics, presentation, diagnosis, patient pathways The Fyodorov-Bouchaud conjecture and Liouville conformal field theory |