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Global Existence of Classical Solutions to

✍ Scribed by Xianwen Zhang

Book ID
106431358
Publisher
Springer
Year
2008
Tongue
English
Weight
395 KB
Volume
132
Category
Article
ISSN
0022-4715

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## Abstract This paper derives an improved energy inequality for the non‐linear dynamical von KΓ‘rmΓ‘n equations. The existence of global classical solutions is a consequence of this a priori inequality.

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The initial-value problem for the Vlasov-Poisson system is by now well understood in the case of an isolated system where, by definition, the distribution function of the particles as well as the gravitational potential vanish at spatial infinity. Here we start with homogeneous solutions, which have