The Boltzmann equation near Maxwellian in the whole space

Xinkuan Chai

doi:10.3934/cpaa.2011.10.435

Article Contents

2011, Volume 10, Issue 2: 435-458. Doi: 10.3934/cpaa.2011.10.435

This issue Previous Article A non-autonomous 3D Lagrangian averaged Navier-Stokes-$\alpha$ model with oscillating external force and its global attractor Next Article Free boundary problem for compressible flows with density--dependent viscosity coefficients

The Boltzmann equation near Maxwellian in the whole space

Xinkuan Chai^1,

1.
College of Mathematics and Information Science, Henan Normal University, 453007, Xinxiang

Received: March 31, 2010

Revised: September 30, 2010

Published: February 2011

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Abstract

A recent nonlinear energy method introduced in [19, 20] leads to another construction global solutions near Maxwellian for the Boltzmann equation over the whole space. Moreover, the optimal time decay, uniform stability and the optimal time stability of the solutions to the Boltzmann equation are all obtained via such a energy method.

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Mathematics Subject Classification: Primary 35Q99; Secondary 35A05.

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References

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