Scaling limits for the Ruijgrok–Wu model of the Boltzmann equation | Zendy

Gabetta Ester | Zendy; Perthame Benoît | Zendy

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Scaling limits for the Ruijgrok–Wu model of the Boltzmann equation

Author(s) -

Gabetta Ester,

Perthame Benoît

Publication year - 2001

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.251

Subject(s) - burgers' equation , limit (mathematics) , mathematics , boltzmann equation , conservation law , scaling , mathematical physics , kinetic theory , scaling law , statistical physics , scaling limit , partial differential equation , mathematical analysis , physics , thermodynamics , geometry

The Ruijgrok–Wu model of the kinetic theory of rarefied gases is investigated both in the fluid‐dynamic and hydro‐dynamic scalings. It is shown that the first limit equation is a first order quasilinear conservation law, whereas the limit equation in the diffusive scaling is the viscous Burgers equation. The main difficulties came from initial layers that we handle here. Copyright © 2001 John Wiley & Sons, Ltd.

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