Rouchon, P. On the Arnol’d stability criterion for steady-state flows of an ideal fluid. (English) Zbl 0742.76038 Eur. J. Mech., B 10, No. 6, 651-661 (1991). Summary: It is proved that, in contrast to the 2-D case, the sufficient Arnol’d stability criterion for steady-state solutions of the incompressible Euler equations is never satisfied when 3-D perturbations are considered. Cited in 4 Documents MSC: 76E30 Nonlinear effects in hydrodynamic stability 76B99 Incompressible inviscid fluids Keywords:Arnol’d stability criterion; incompressible Euler equations; 3-D perturbations PDFBibTeX XMLCite \textit{P. Rouchon}, Eur. J. Mech., B 10, No. 6, 651--661 (1991; Zbl 0742.76038)