We present the full three-dimensional numerical investigation of von Karman swirling flow between two parallel plates using Oldroyd-B model and characterize onset development elastic turbulence. quantify state with secondary-flow strength, a measure average strength velocity fluctuations, then define an order parameter as time strength. The displays subcritical transition from laminar to bistab...

Abstract Small-amplitude, traveling, space periodic solutions –called Stokes waves– of the 2 dimensional gravity water waves equations in deep are linearly unstable with respect to long-wave perturbations, as predicted by Benjamin and Feir 1967. We completely describe behavior four eigenvalues close zero linearized at wave, Floquet exponent is turned on. prove particular conjecture that a pair ...