The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potentialReport as inadecuate




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1 IRENAV - Institut de Recherche de l-Ecole Navale EA 3634 2 Graduate School of Human and Environmental Studies 3 Mr. - retaite 4 LMRS - Laboratoire de Mathématiques Raphaël Salem 5 department of mathematics

Abstract : As a continuation of our series works on the Boltzmann equation without angular cutoff assumption, in this part, the global existence of solution to the Cauchy problem in the whole space is proved in some suitable weighted Sobolev spaces for hard potential when the solution is a small perturbation of a global equilibrium.

Keywords : Boltzmann equation non-cutoff hard potentials global existence





Author: Radjesvarane Alexandre - Y. Morimoto - Seiji Ukai - Chao-Jiang Xu - Tong Yang -

Source: https://hal.archives-ouvertes.fr/



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