Modeling and applications in kinetic theory of mixtures

Online | | 16:30


Ana Jacinta Soares

CMAT - University of Minho



Abstract ::  In many problems arising in the interface of mathematics with engineering, natural and life sciences, one important aspect is the presence of different scaling regimes of evolution. For example, when modeling biological systems, one should describe not only the global behaviour of the cellular populations but also the cellular dynamics and the biological expression of cells. In fluid dynamics, many problems are described by a macroscopic approach, like Euler or Navier-Stokes, but a microscopic model is needed to describe transition regimes like gas-surface interactions. The kinetic theory is a branch of statistical mechanics that provides a detailed description of the gas at small scales. It allows to obtain the corresponding macroscopic analogue as the hydrodynamic limit of the kinetic equations. Thus, it offers a very convenient approach to many different problems.

In this seminar, I will present some interesting problems and applications of the kinetic theory to both fluid dynamical processes and and biological systems.

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Seminar for the Doctoral Program in Applied Mathematics (MAP-PDMA Seminar)