Nonlinear nonlocal aggregation/diffusion equations are basic macroscopic models in many collective behaviour applications such as bacterial chemotaxis, swarming, and computational neuroscience, to name a few. Kinetic modelling is being derived in these applications to include a mesoscopic level of description bridging the microscopic to the macroscopic scales. This workshop will serve to foster the interaction between modellers and mathematicians interested in these applications.
In this conference we will also honor Eitan Tadmor’s 60th birthday.
GOALS
This workshop will focus on highlighting recent developments of mathematical analysis tools and methods, design of suitable numerical schemes, and numerical simulation in some selected new applications of the field of nonlinear nonlocal aggregation/diffusion and kinetic Partial Differential Equations. Among the numerous areas of applications, we will concentrate particularly on some examples which can be identified, at the modelling stage, as systems made out of a large number of “individuals” which show a “collective behaviour” and how to obtain from them “averaged” information. The behaviour of individuals can be typically modelled via stochastic/deterministic ODEs from which one obtains mesoscopic and/or macroscopic descriptions based on mean-field type PDEs leading to kinetic and/or continuum model systems. The interplay between the aggregation/interaction behaviour (nonlocal, nonlinear), the transport phenomena, and the diffusion, is the main goal of analysis of this workshop.
For Further information Please visit:
Conference Webpage:
http://www.ki-net.umd.edu/content/conf?event_id=3
There is also a local webpage containing information for external participants:
http://www2.imperial.ac.uk/~jcarrill/localkinetconf.html