Stability for Rayleigh-Benard convective solutions of the Boltzmann equation

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dc.creatorArkeryd, L.
dc.creatorEsposito, R.
dc.creatorMarra, R.
dc.creatorNouri, A.
dc.date2008-12-19
dc.date.accessioned2026-07-07T12:20:50Z
dc.date.available2026-07-07T12:20:50Z
dc.descriptionWe consider the Boltzmann equation for a gas in a horizontal slab, subject to a gravitational force. The boundary conditions are of diffusive type, specifying the wall temperatures, so that the top temperature is lower than the bottom one (Benard setup). We consider a 2-dimensional convective stationary solution, which is close for small Knudsen number to the convective stationary solution of the Oberbeck-Boussinesq equations, near above the bifurcation point, and prove its stability under 2-d small perturbations, for Rayleigh number above and close to the bifurcation point and for small Knudsen number.
dc.identifierhttps://arxiv.org/abs/0812.3720
dc.identifierhttp://arxiv.org/abs/0812.3720
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213184
dc.subjectMathematical Physics
dc.subject82B40, 82C26
dc.titleStability for Rayleigh-Benard convective solutions of the Boltzmann equation
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