Active Particles, Volume 1: Advances in Theory, Models, and by Nicola Bellomo,Pierre Degond,Eitan Tadmor

By Nicola Bellomo,Pierre Degond,Eitan Tadmor

This quantity collects ten surveys at the modeling, simulation, and purposes of lively debris utilizing equipment starting from mathematical kinetic concept to nonequilibrium statistical mechanics.  The contributing authors are prime specialists operating during this demanding box, and every in their chapters offers a evaluate of the latest ends up in their components and appears forward to destiny examine instructions.  The ways to learning lively subject are provided the following from many alternative views, corresponding to individual-based versions, evolutionary video games, Brownian movement, and continuum theories, in addition to quite a few mixtures of those.  Applications coated comprise organic community formation and community concept; opinion formation and social structures; keep an eye on conception of sparse platforms; thought and functions of suggest box video games; inhabitants studying; dynamics of flocking platforms; vehicular site visitors circulate; and stochastic debris and suggest box approximation.  Mathematicians and different individuals of the clinical neighborhood drawn to lively subject and its many purposes will locate this quantity to be a well timed, authoritative, and precious resource.

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