TITLE:
C0 Approximation on the Spatially Homogeneous Boltzmann Equation for Maxwellian Molecules
AUTHORS:
Minling Zheng
KEYWORDS:
Viscosity Boltzmann Equation, Mild Solution, Viscosity Approximation, Collision Kernel
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.6,
December
27,
2010
ABSTRACT: In this paper we study the viscosity analysis of the spatially homogeneous Boltzmann equation for Maxwellian molecules. We first show that the global existence in time of the mild solution of the viscosity equation . We then study the asymptotic behaviour of the mild solution as the coefficients , and an estimate on is derived.