08-80 Pierre Collet, Jean-Pierre Eckmann

A Model of Heat Conduction (225K, pdf) Apr 18, 08

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Abstract. We define a deterministic ``scattering'' model for heat conduction which is continuous in space, and which has a Boltzmann type flavor, obtained by a closure based on memory loss between collisions. We prove that this model has, for stochastic driving forces at the boundary, close to Maxwellians, a unique non-equilibrium steady state.

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