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Strong L1 convergence to equilibrium without entropy conditions for the Boltzmann equation
Högskolan i Jönköping, Tekniska Högskolan, JTH, Matematik.
1999 (engelsk)Inngår i: Communications in Partial Differential Equations, ISSN 0360-5302, E-ISSN 1532-4133, Vol. 24, nr 7-8, s. 1501-1535Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The main result of this paper is that for the har dsphere kernel, the solution of the spatially homogenous Boltzmann equation converges strongly in L1 to equilibrium given that the initial data f0 belongs to L1(R3,(1+v^2)dv). This was previously known to be true with the additional assumption that f0logf0 belonged to L1(R3), which corresponds to bounded initial entropy.

sted, utgiver, år, opplag, sider
1999. Vol. 24, nr 7-8, s. 1501-1535
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URN: urn:nbn:se:hj:diva-6468OAI: oai:DiVA.org:hj-6468DiVA, id: diva2:37288
Tilgjengelig fra: 2007-08-01 Laget: 2007-08-01 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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