Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation

Simple item page
dc.creatorGamba, I. M.
dc.creatorPanferov, V.
dc.creatorVillani, C.
dc.date2007-01-03
dc.date.accessioned2026-07-07T07:38:13Z
dc.date.available2026-07-07T07:38:13Z
dc.descriptionFor the spatially homogeneous Boltzmann equation with cutoff hard potentials it is shown that solutions remain bounded from above, uniformly in time, by a Maxwellian distribution, provided the initial data have a Maxwellian upper bound. The main technique is based on a comparison principle that uses a certain dissipative property of the linear Boltzmann equation. Implications of the technique to propagation of upper Maxwellian bounds in the spatially-inhomogeneous case are discussed.
dc.identifierhttps://arxiv.org/abs/math/0701081
dc.identifierhttp://arxiv.org/abs/math/0701081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121042
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject82C40, 35B05, 76P05
dc.titleUpper Maxwellian bounds for the spatially homogeneous Boltzmann equation
dc.typetext

Files

Collections

arXiv