Acta mathematica scientia,Series B

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GLOBAL CLASSICAL SOLUTIONS OF THE BOLTZMANN EQUATION NEAR MAXWELLIANS

Yu Hongjun   

  1. School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China
  • Received:2004-07-07 Revised:1900-01-01 Online:2006-07-20 Published:2006-07-20
  • Contact: Yu Hongjun

Abstract:

Global classical solutions near Maxwellians are constructed for the Boltzmann equation in a periodic box with angular soft cutoff, that is, -3<γ<0. The construction of global solution is based on an energy method used in [9].

Key words: Global classical solution, small amplitude, energy estimate

CLC Number: 

  • 35Q99
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