Contributions to Proceedings:
F. Achleitner, A. Arnold, E. Carlen:
"On linear hypocoercive BGK models";
in: "From Particle Systems to Partial Differential Equations III",
P. Goncalves, A. Soares (ed.);
Springer International Publishing Switzerland,
2016,
ISBN: 978-3-319-32144-8,
1
- 37.
English abstract:
We study hypocoercivity for a class of linear and linearized BGK models for discrete and continuous phase spaces. We develop methods for constructing entropy functionals that prove exponential rates of relaxation to equilibrium. Our strategies are based on the entropy and spectral methods, adapting Lyapunov´s direct method (even for "infinite matrices" appearing for continuous phase spaces) to construct appropriate entropy functionals. Finally, we also prove local asymptotic stability of a nonlinear BGK model.
Keywords:
Kinetic equations; BGK models; Hypocoercivity; Entropy method
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/978-3-319-32144-8
Created from the Publication Database of the Vienna University of Technology.