On Backward Solutions of the Spatially Homogeneous Boltzmann Equation for Maxwelian Molecules |
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Authors: | Xuguang Lu |
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Affiliation: | 1.Department of Mathematical Sciences,Tsinghua University,Beijing,P.R. China |
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Abstract: | The paper considers backward solutions of the spatially homogeneous Boltzmann equation for Maxwellian molecules with angular cutoff. We prove that if the initial datum of a backward solution has finite moments up to order >2, then the backward solution must be an equilibrium, i.e. a Maxwellian distribution. This gives a partial positive answer to the Villani’s conjecture on a global irreversibility of Maxwellian molecules. |
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