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Strong L1 convergence to equilibrium without entropy conditions for the Boltzmann equation
Jönköping University, School of Engineering, JTH, Mathematics.
1999 (English)In: Communications in Partial Differential Equations, ISSN 0360-5302, E-ISSN 1532-4133, Vol. 24, no 7-8, p. 1501-1535Article in journal (Refereed) 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.

Place, publisher, year, edition, pages
1999. Vol. 24, no 7-8, p. 1501-1535
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:hj:diva-6468OAI: oai:DiVA.org:hj-6468DiVA, id: diva2:37288
Available from: 2007-08-01 Created: 2007-08-01 Last updated: 2017-12-12Bibliographically approved

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Abrahamsson, Fredrik

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