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From Particle Syste...
From Particle Systems to the Landau Equations : A Consistency Result
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- Bobylev, Alexander, 1947- (författare)
- Karlstads universitet,Avdelningen för matematik,Kinetisk teori
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- Pulvirenti, Mario (författare)
- Dipartimento di Matematica Guido Castelnuovo, Università La Sapienza, Roma
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- Saffirio, Chiara (författare)
- Dipartimento di Matematica Guido Castelnuovo, Università La Sapienza, Roma
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(creator_code:org_t)
- 2012-12-11
- 2013
- Engelska.
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Ingår i: Communications in Mathematical Physics. - : Springer. - 0010-3616 .- 1432-0916. ; 319:3, s. 693-702
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Abstract
Ämnesord
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- We consider a system of N classical particles, interacting via a smooth, short-range potential, in a weak-coupling regime. This means that N tends to infinity when the interaction is suitably rescaled. The j-particle marginals, which obey to the usual BBGKY hierarchy, are decomposed into two contributions: one small but strongly oscillating, the other hopefully smooth. Eliminating the first, we arrive to establish the dynamical problem in term of a new hierarchy (for the smooth part) involving a memory term. We show that the first order correction to the free flow converges, as N →∞, to the corresponding term associated to the Landau equation. We also show the related propagation of chaos.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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