Boltzmann equation on a lattice: Existence and uniqueness of solutions |
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| Authors: | Herbert Spohn |
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| Affiliation: | (1) Theoretische Physik, Universität München, Munich, West Germany;(2) Instituut voor Theoretische Fysica, Universiteit Leuven, Leuven, Belgium |
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| Abstract: | ![]()
Cercignani, Greenberg, and Zweifel proved the existence and uniqueness of solutions of the Boltzmann equation on a toroidal lattice under the assumption that the collision kernel is bounded. We give an alternative, considerably simpler, proof which is based on a fixed point argument. |
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| Keywords: | Nonlinear Boltzmann equation lattice approximation |
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