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From Particle Syste...
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Bobylev, Alexander,1947-Karlstads universitet,Avdelningen för matematik,Kinetisk teori
(author)
From Particle Systems to the Landau Equations : A Consistency Result
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Publisher, publication year, extent ...
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2012-12-11
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Springer,2013
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printrdacarrier
Numbers
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LIBRIS-ID:oai:DiVA.org:kau-16083
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https://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-16083URI
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https://doi.org/10.1007/s00220-012-1633-6DOI
Supplementary language notes
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Language:English
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Summary in:English
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Classification
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
Notes
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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.
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Pulvirenti, MarioDipartimento di Matematica Guido Castelnuovo, Università La Sapienza, Roma
(author)
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Saffirio, ChiaraDipartimento di Matematica Guido Castelnuovo, Università La Sapienza, Roma
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Karlstads universitetAvdelningen för matematik
(creator_code:org_t)
Related titles
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In:Communications in Mathematical Physics: Springer319:3, s. 693-7020010-36161432-0916
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