On the Boltzmann Diffusion of Two Gases

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dc.creatorSotirov, A.
dc.creatorYu, S. -H.
dc.date2005-10-19
dc.date.accessioned2026-07-07T06:47:38Z
dc.date.available2026-07-07T06:47:38Z
dc.descriptionWe study the Boltzmann equation for a mixture of two gases in one space dimension with initial condition of one gas near vacuum and the other near a Maxwellian equilibrium state. A qualitative-quantitative mathematical analysis is developed to study this mass diffusion problem based on the Green's function of the Boltzmann equation for the single species hard sphere collision model as developed in work of Liu and Yu. The cross species resonance of the mass diffusion and the diffusion-sound wave is investigated. An exponentially sharp global solution is obtained.
dc.description20 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0510400
dc.identifierhttp://arxiv.org/abs/math/0510400
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103723
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.titleOn the Boltzmann Diffusion of Two Gases
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