Exponential stability of the solutions to the Boltzmann equation for the Benard problem
Journal article, 2012
We complete the result in [2] by showing the exponential decay of the perturbation of the laminar solution below the critical Rayleigh number and of the convective solutions above the critical Rayleigh number, in the kinetic framework.
Boltzmann equation
Benard problem
stabilöilty
Author
Leif Arkeryd
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
R. Esposito
Universita degli Studi dell'Aquila
R. Marra
Universita degli Studi di Roma Tor Vergata
A. Nouri
CMI Centre de Mathematiques et Informatique
Kinetic and Related Models
1937-5093 (ISSN) 1937-5077 (eISSN)
Vol. 5 4 673-695Subject Categories (SSIF 2011)
Mathematics
Physical Sciences
Roots
Basic sciences
DOI
10.3934/krm.2012.5.673