Fractional diffusion limit for collisional kinetic equations: a Hilbert expansion approach. (English) Zbl 1242.76304
Summary: We develop a Hilbert expansion approach for the derivation of fractional diffusion equations from the linear Boltzmann equation with heavy tail equilibria.
MSC:
| 76P05 | Rarefied gas flows, Boltzmann equation in fluid mechanics |
| 26A33 | Fractional derivatives and integrals |
| 22E46 | Semisimple Lie groups and their representations |
| 53C35 | Differential geometry of symmetric spaces |
| 57S20 | Noncompact Lie groups of transformations |
