Stationary states and moving planes
Volume 81 / 2008
Banach Center Publications 81 (2008), 501-513
MSC: 35Q30, 49S05, 76E20.
DOI: 10.4064/bc81-0-32
Abstract
Most of the paper deals with the application of the moving plane method to different questions concerning stationary accumulations of isentropic gases. The first part compares the concepts of stationarity arising from the points of view of dynamics and the calculus of variations. Then certain stationary solutions are shown to be unstable. Finally, using the moving plane method, a short proof of the existence of energy-minimizing gas balls is given.
