Derivation of Hyperbolic Transfer Equations from BGK-Equation

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dc.creatorTerentyev, A.
dc.creatorSkryl, Yu.
dc.date2005-07-14
dc.date.accessioned2026-07-07T03:06:00Z
dc.date.available2026-07-07T03:06:00Z
dc.descriptionWe use the integral form of the Boltzmann equation which allows us to take into account the memory effects using the initial condition that selects the solutions going to the local equilibrium Maxwell distribution in the $t \to -\infty$ limit. Implementing the relaxation-time approximation for the collision integral (BGK-equation) we present the derivation of the hyperbolic Navier-Stokes and the hyperbolic heat conduction equations in the first order approximation. It is shown that the relaxation time in the obtained hyperbolic equations is the Maxwellian relaxation time. As special case we obtain the telegraph equation for the heat propagation in static medium and estimate the relaxation time for the heat conduction in some materials.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0507333
dc.identifierhttp://arxiv.org/abs/cond-mat/0507333
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26655
dc.subjectStatistical Mechanics
dc.titleDerivation of Hyperbolic Transfer Equations from BGK-Equation
dc.typetext

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