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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:
76P05Rarefied gas flows, Boltzmann equation
26A33Fractional derivatives and integrals (real functions)
22E46Semisimple Lie groups and their representations
53C35Symmetric spaces (differential geometry)
57S20Noncompact Lie groups of transformations