Vorträge und Posterpräsentationen (ohne Tagungsband-Eintrag):
D. Matthes:
"Random Kinetic Models on the Real Axis";
Vortrag: Workshop: Theory and Applications of Classical and Quantum Kinetic Theory,
Banff (eingeladen);
21.06.2009
- 26.06.2009.
Kurzfassung deutsch:
siehe engl. Abstract
Kurzfassung englisch:
A class of one-dimensional homogeneous Boltzmann equations on $R$ is
considered. The (random) interaction coefficients inside the collision kernel are
designed in such a way that the sum of the particle momenta in individual
interactions is not conserved, but the total momentum of the system is. We
prove that by adjusting the random coefficients suitably, one can achieve
stationary solutions with arbitrarily fat high energy tails. Moreover, we
investigate the propagation of regularity and estimate the rate of strong
equilibration of transient solutions.
Schlagworte:
Kinetic equations, Kac model, Pareto tails
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.