Entropy based Discretization Methods for Energy Transport Systems
Abstract
The flow of charged particles can be described by a
generalization of the compressible Euler equations or, as a
simplification, by the so called energy transport system. The
long time behavior as well as the stability of discretization
methods for this system is essentially governed by the
dissipation of an appropriately defined entropy. This talk will
discuss difference methods which dissipate a discrete version
of an entropy derived from the entropy balance for the
underlying kinetic description of the flow, namely a simplified
Boltzmann equation.
