Abstract
We prove a quantitative propagation of chaos and entropic chaos, uniformly in time, for the spatially homogeneous Landau equation in the case of Maxwellian molecules. We improve the results of Fontbona, Guérin and Méléard [9] and Fournier [10] where the propagation of chaos is proved for finite time. Moreover, we prove a quantitative estimate on the rate of convergence to equilibrium uniformly in the number of particles.
| Original language | English |
|---|---|
| Pages (from-to) | 1-49 |
| Number of pages | 49 |
| Journal | Kinetic and Related Models |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2016 |
| Externally published | Yes |
Keywords
- Chaos
- Entropic chaos
- Grazing collisions
- Landau equation
- Maxwellian molecules
- Propagation of chaos
- Trend to equilibrium