Title of article :
Eternal solutions of the Boltzmann equation near
travelling Maxwellians
Author/Authors :
Jinbo Wei، نويسنده , , Xianwen Zhang، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2006
Abstract :
It is shown in this paper that the Cauchy problem of the Boltzmann equation, with a cut-off soft
potential and an initial datum close to a travelling Maxwellian, has a unique positive eternal solution.
This eternal solution is exponentially decreasing at infinity for all t ∈ (−∞,∞), consequently the
moments of any order are finite. This result gives a negative answer to the conjecture of Villani in
the spatially inhomogeneous case.
2005 Elsevier Inc. All rights reserved.
Keywords :
Boltzmann equation , Eternal positive solution , Kaniel–Shinbrot iteration
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications