title: Stability of flow- and diffusion-distributed structures to inlet noise effects.
abstract: Stationary flow- and diffusion-distributed structures (FDS) patterns appear in a reaction-diffusion-advection system when a constant forcing is applied at the inlet of the reactor. We show that if the forcing is subject to noise, the FDS can be destroyed via the noise-induced Hopf instability. However, the FDS patterns are restored if the flow rate is sufficiently high. We demonstrate that the critical flow rate which is required for the stabilization of FDS has a power-law dependence on the noise amplitude.
authors.affiliation: Centre for Mathematical Science, City University, Northampton Square, London EC1V 0HB, United Kingdom. kupav@mail.ru
authors.forename: Pavel V
authors.initials: PV
authors.lastname: Kuptsov
authors.forename: Razvan A
authors.initials: RA
authors.lastname: Satnoianu