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Kinetic models of particle systems

Program in Applied Mathematics Colloquium

Kinetic models of particle systems
Series: Program in Applied Mathematics Colloquium
Location: ONLINE
Presenter: Cory D. Hauck, Computer Science and Mathematics Division Oak Ridge National Laboratory, and Department of Mathematics (Joint Faculty) University of Tennessee

Kinetic models are used to simulate the collective behavior of particle systems.   They provide a mesoscopic description that forms a link between continuum fluid models, which are not valid in non-equilibrium settings, and molecular dynamics models, which are often too expensive for practical purposes.  In this talk, I will introduce the basic formalism of kinetic theory and present some relevant applications.  I will then discuss some of the challenges of solving kinetic equations numerically, including a more detailed look at implicit solver strategies for multiscale problems.

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