C0 Approximation on the Spatially Homogeneous Boltzmann Equation for Maxwellian Molecules

Minling Zheng

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DOI: 10.4236/am.2010.16066                

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.

Keywords

Viscosity Boltzmann Equation, Mild Solution, Viscosity Approximation, Collision Kernel

Conflicts of Interest

The authors declare no conflicts of interest.

References

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