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The Boltzmann-Grad limit and Cauchy-Kovalevskaya theorem

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Abstract

A technique based on the abstract Cauchy-Kovalevskaya theorem is used to derive uniform estimates of solutions of BBGKY hierarchy, which improves Lanford’s theorem on the Boltzmann-Grad limit and simplifies its proof, in part. It is also applied to the Euler limit of the Boltzmann hierarchy.

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Ukai, S. The Boltzmann-Grad limit and Cauchy-Kovalevskaya theorem. Japan J. Indust. Appl. Math. 18, 383–392 (2001). https://doi.org/10.1007/BF03168581

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  • DOI: https://doi.org/10.1007/BF03168581

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