Stationary states for the non-cutoff Kac equation with a Gaussian thermostat

Véronique Bagland (1) , Bernt Wennberg (2, 3) , Yosief Wondmagegne (4)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 Department of Mathematical Sciences
3 Department of Mathematical Sciences
4 Institutionen för vård och natur

We study the stationary states of a Kac equation with a Gaussian thermostat in the case of a noncutoff cross section. We investigate the existence, smoothness and uniqueness of the stationary states. The theoretical results are illustrated by some numerical simulations.

Véronique Bagland, Bernt Wennberg, Yosief Wondmagegne. Stationary states for the non-cutoff Kac equation with a Gaussian thermostat. Nonlinearity, 2007, 20, pp.583-604. ⟨10.1088/0951-7715/20/3/003⟩. ⟨hal-00494602⟩