Asymptotic growth bounds for the Vlasov-Poisson system

作者：Schaeffer Jack^*

来源：Mathematical Methods in the Applied Sciences, 2011, 34(3): 262-277.

DOI：10.1002/mma.1354

Batt showed that solutions of the Vlasov-Poisson system remain smooth as long as the particle speeds remain finite. Pfaffelmoser was the first to establish a bound on the particle speeds, completing the existence proof. Horst greatly improved this bound on the particle speeds. This article improves it further.

• 出版日期2011-2