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Kinetic Description of Multiscale Phenomena

 

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Summary of the project:

 
Kinetic equations play a central role in many areas of mathematical physics, from micro- and nano-physics to continuum mechanics. They are an indispensable tool in the mathematical description of applications in physical and social sciences, from semi-conductors, polymers and plasma to traffic networking and swarming. The ultimate goal of this NSF Focus Research Group (FRG) is to develop novel analytical and numerical methods based on kinetic descriptions of complex phenomena with multiple scales and with a wide range of applications.

The rationale behind the activities of our FRG is a timely effort to address several important issues in modern applied mathematics. We expect our FRG activities:
(i) to pursue cutting-edge research and train a new generation of applied mathematicians in these important areas
(ii) to contribute to the advanced training of (post-)doctoral researchers in these areas
(iii) to provide a platform for interdisciplinary interactions with researchers from related disciplines.

We plan to hold international meetings, as part of the series of interdisciplinary focused workshops organized by the Center for Scientific Computation and Mathematical Modeling (CSCAMM) at the University of Maryland. Three annual workshops are planned, to be held at Maryland (YEAR 1), France and Brown (YEAR 2) and Wisconsin (YEAR 3).

 

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