20 citations · 26 across the 2 of their papers we have counts for
Showing 2001Show all
2 papers · 1 filter
math-ph2001
Reduction and a concentration-compactness principle for energy-Casimir functionals
Gerhard Rein
Energy-Casimir functionals are a useful tool for the construction of steady states and the analysis of their nonlinear stability properties for a variety of conservative systems in…
math-ph2001
Existence and nonlinear stability of steady states of the Schrödinger-Poisson system
Peter A. Markowich, Gerhard Rein, Gershon Wolansky
We consider the Schrödinger-Poisson system in the attractive (plasma physics) Coulomb case. Given a steady state from a certain class we prove its nonlinear stability, using an app…