Convergence to the equilibrium state for Bose-Einstein 1-D Kac grazing limit model

Radjesvarane Alexandre (1) , Jie Liao (2) , Chunjin Lin (3)

1 Department of Mathematics [Shanghai]
2 ECUST - department of Mathematics
3 HHU - department of Mathematics

The convergence to the equilibrium of the solution of the quantum Kac model for Bose-Einstein identical particles is studied in this paper. Using the relative entropy method and a detailed analysis of the entropy production, the exponential decay rate is obtained under suitable assumptions.The theoretical results are further illustrated by numerical simulations.

Domaines: Equations aux dérivées partielles [math.AP]

Radjesvarane Alexandre, Jie Liao, Chunjin Lin. Convergence to the equilibrium state for Bose-Einstein 1-D Kac grazing limit model. 2013. ⟨hal-00794641⟩