Nonlinear models in kinetic theory, collective behavior, and fluid dynamics
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Christopher Henderson
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University of Chicago
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USA
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Stanley Snelson
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Florida Institute of Technology
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USA
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Andrei Tarfulea
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Louisiana State University
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USA
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Abstract:
| | This special session will address the modeling aspects and mathematical theory of physical and biological phenomena described by mesoscopic limits of small-scale systems. In particular, the focus is on the interrelated classes of kinetic and fluid dynamics equations and models for collective behavior. These models often feature long-range interactions, leading to nonlocal terms in the corresponding equations. Examples arise in subsonic hydrodynamics (pressure ``communicates`` much faster than fluid motion), biology (population and genetic drift arising from jump processes, as well as ``flocking`` in swarm dynamics), and plasma physics (characterized by high-velocity, strongly interacting ion motion). Such models involve novel mathematical challenges in deriving the limiting equations and determining their behavior quantitatively. |
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List of approved abstract |
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