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Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian

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Abstract

For molecules with a cut-off, we solve the initial value problem for the non-linear, spatially dependent Boltzmann equation when the initial density is sufficiently close to a locally Maxwellian function. The result is obtained for Maxwellian and weak interactions and achieved through a suitable application of the iteration scheme of Kaniel & sHinbrot.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Ferrara, Italy

    G. Toscani

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  1. G. Toscani
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Communicated by L. Arkeryd

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Toscani, G. Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian. Arch. Rational Mech. Anal. 102, 231–241 (1988). https://doi.org/10.1007/BF00281348

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  • DOI: https://doi.org/10.1007/BF00281348

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