Trend to equilibrium of weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions |
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Authors: | C Cercignani |
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Institution: | (1) Dipartimento di Matematica, Politecnico di Milano, 20133 Milan, Italy |
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Abstract: | Recently R. Illner and the author proved that, under a physically realistic truncation on the collision kernel, the Boltzmann equation in the one-dimensional slab 0, 1] with general diffusive boundary conditions at 0 and 1 has a global weak solution in the traditional sense. Here it is proved that when the Maxwellians associated with the boundary conditions atx=0 andx=1 are the same MaxwellianM
w
, then the solution is uniformly bounded and tends toM
w
fort. |
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Keywords: | Boltzmann equation kinetic theory equilibrium |
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