On the existence and stability of certain equilibrium states of gas balls
Applicationes Mathematicae
MSC: Primary 76U05; Secondary 76E20, 70E55, 76N10, 45G05
DOI: 10.4064/am2541-10-2024
Published online: 12 February 2025
Abstract
The paper combines two results about rotating equilibrium states of one or more gas balls. One discusses the structural stability and its limits under changes of the angular momentum, the other deals with the stability of solutions obtained by replacing mass points solving a restricted $m$-body problem.
