Acoustic Limit for the Boltzmann equation in Optimal Scaling

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dc.creatorGuo, Yan
dc.creatorJang, Juhi
dc.creatorJiang, Ning
dc.date2009-01-15
dc.date.accessioned2026-07-07T12:30:33Z
dc.date.available2026-07-07T12:30:33Z
dc.descriptionBased on a recent $L^{2}{-}L^{\infty}$ framework, we establish the acoustic limit of the Boltzmann equation for general collision kernels. The scaling of the fluctuations with respect to Knudsen number is optimal. Our approach is based on a new analysis of the compressible Euler limit of the Boltzmann equation, as well as refined estimates of Euler and acoustic solutions.
dc.identifierhttps://arxiv.org/abs/0901.2290
dc.identifierhttp://arxiv.org/abs/0901.2290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216161
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject76P05
dc.titleAcoustic Limit for the Boltzmann equation in Optimal Scaling
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