4.2 Article

RACTIONAL DIFFUSION LIMIT FOR COLLISION ALKINETIC EQUATIONS: A HILBERT EXPANSION APPROACH

Journal

KINETIC AND RELATED MODELS
Volume 4, Issue 4, Pages 873-900

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/krm.2011.4.873

Keywords

Linear Boltzmann equation; fractional diffusion; anomalous diffusion limit

Funding

  1. Direct For Mathematical & Physical Scien
  2. Division Of Mathematical Sciences [901340] Funding Source: National Science Foundation

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We develop a Hilbert expansion approach for the derivation of fractional diffusion equations from the linear Boltzmann equation with heavy tail equilibria.

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