A constraint variational problem arising in stellar dynamics
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We use the compactness result of A. Burchard and Y. Guo (cf. \cite{BuGu}) to analyze the reduced 'energy' functional arising naturally in the stability analysis of steady states of the Vlasov-Poisson system (cf. \cite{SaSo} and \cite{Ha}). We consider the associated variational problem and present a new proof that puts it in the general framework for tackling the variational problems of this type, given by Y. Guo and G. Rein (cf. \cite{Re1} and \cite{Re2}).
Keywords
Cite
@article{arxiv.math-ph/0603025,
title = {A constraint variational problem arising in stellar dynamics},
author = {Mahir Hadzic},
journal= {arXiv preprint arXiv:math-ph/0603025},
year = {2007}
}