The Boltzmann equation with potential force in the whole space

✍ Scribed by Jie Sun

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 195 KB
• Volume: 34
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1385

✦ Synopsis

In this paper, we consider the Cauchy problem of the Boltzmann equation with potential force in the whole space. When some more natural assumptions compared with those of the previous works are made on the potential force, we can still obtain a unique global solution to the Boltzmann equation even for the hard potential cases by energy method, if the initial data are sufficiently close to the steady state. Moreover, the solution is uniformly stable.