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