Local existence with mild regularity for the Boltzmann equation

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

  • Radjesvarane Alexandre
  • Yoshinori Morimoto
  • Seiji Ukai
  • Chao-Jiang Xu
  • Tong Yang

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)1011-1041
Journal / PublicationKinetic and Related Models
Volume6
Issue number4
Online publishedNov 2013
Publication statusPublished - Dec 2013

Abstract

Without Grad's angular cutoff assumption, the local existence of classical solutions to the Boltzmann equation is studied. There are two new improvements: the index of Sobolev spaces for the solution is related to the parameter of the angular singularity; moreover, we do not assume that the initial data is close to a global equilibrium. Using the energy method, one important step in the analysis is the study of fractional derivatives of the collision operator and related commutators © American Institute of Mathematical Sciences.

Research Area(s)

  • Boltzmann equation, Energy estimates, Existence of solution, Fractional derivatives

Citation Format(s)

Local existence with mild regularity for the Boltzmann equation. / Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji et al.
In: Kinetic and Related Models, Vol. 6, No. 4, 12.2013, p. 1011-1041.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review