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- W3204407893 abstract "We investigate a specific reaction-diffusion system that admits a monostable pulled front propagating at constant critical speed. When a small parameter changes sign, the stable equilibrium behind the front destabilizes, due to essential spectrum crossing the imaginary axis, causing a Turing bifurcation. Despite both equilibrium states are unstable, the front continues to exist, and is shown to be asymptotically stable, against suitably-localized perturbations, with algebraic temporal decay rate $t^{-3/2}$. To obtain such decay, we rely on point-wise semigroup estimates, and show that the Turing pattern behind the front remains bounded in time, by use of mode-filters." @default.
- W3204407893 created "2021-10-11" @default.
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- W3204407893 date "2021-10-06" @default.
- W3204407893 modified "2023-09-26" @default.
- W3204407893 title "NONLINEAR CONVECTIVE STABILITY OF A CRITICAL PULLED FRONT UNDERGOING A TURING BIFURCATION AT ITS BACK: A CASE STUDY" @default.
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