Linearization for the Boltzmann equation

Grünbaum, F. Alberto

doi:10.1090/S0002-9947-1972-0295718-5

Linearization for the Boltzmann equation
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by F. Alberto Grünbaum

Trans. Amer. Math. Soc. 165 (1972), 425-449

DOI: https://doi.org/10.1090/S0002-9947-1972-0295718-5

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Abstract:

In this paper we compare the nonlinear Boltzmann equation appearing in the kinetic theory of gases, with its linearized version. We exhibit an intertwining operator for the two semigroups involved. We do not assume from the reader any familiarity with Boltzmann’s equation but rather start from scratch.

References

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Sur les propiétés des fonctions définies par les équations aux différences partielles

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