It is well known that kinetic models satisfying the so-called detailed
balance condition have an entropy functional which can be used to derive convergence to equilibrium results. On the other hand, there are many physical situations (typically open systems) where it is natural to use kinetic equations for which a detailed balance condition does not hold. In these cases, more complicated dynamical behavior can arise, for
instance, oscillatory behaviors. A class of kinetic equations where it
is not a priori evident if temporal oscillations can occur are the
In the talk, we concentrate on Becker-Döring type dynamics, in which
only a single monomer can attach or detach from a cluster. These
equations have been extensively used to model chemical-physical systems and especially bubbleator dynamics. In this talk, I will describe such models for which the onset of periodic oscillations can be proven by formal asymptotics. One of the models represents the formation of large clusters in a Becker-Döring equation having a source of monomers and removal of large clusters.
Joint work with Barbara Niethammer, Bob Pego, and Juan Velazquez.
Angelegt am Thursday, 15.10.2020 15:48 von Claudia Giesbert
Geändert am Tuesday, 06.04.2021 14:53 von Sebastian Throm
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