Stationary states and moving planes

• Autorzy: Gerhard Ströhmer
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 76E20: Stability and instability of geophysical and astrophysical flows
• 35Q30: Navier-Stokes equations
• 49S05: Variational principles of physics (should also be assigned at least one other classification number in section 49)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 501-513

Daty

wydano

2008

Twórcy

autor

Gerhard Ströhmer

• Department of Mathematics, University of Iowa, Iowa City, IA 52242, U.S.A.

Identyfikatory

DOI

10.4064/bc81-0-32