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• W2065248638 abstract "The linear and the nonlinear dynamics of open unstable flow in a finite domain of size L is studied on a modified supercritical Ginzburg–Landau equation. When the advection term is nonzero, the bifurcation to a finite-amplitude state occurs when the instability is absolute, even for large L. The standard weakly nonlinear theory is limited to a control parameter domain of size varying as L−5 due to the nonnormality of the linear evolution operator. The fully nonlinear solution is given and two generic cases are discussed: a supercritical case in which the instability is absolute and a subcritical case in which the instability is solely convective. The subcritical case gives a mathematical example of a bypass transition due to transient growth. The supercritical case allows a fully quantitative comparison, including the effect of the domain size, with results obtained by Büchel et al. for the size of the bifurcated solutions in the Taylor–Couette problem with throughflow." @default.
• W2065248638 created "2016-06-24" @default.
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• W2065248638 date "1999-10-01" @default.
• W2065248638 modified "2023-10-14" @default.
• W2065248638 title "Against the wind" @default.
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• W2065248638 doi "https://doi.org/10.1063/1.870157" @default.
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