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- W2308387797 abstract "Propagation of traveling fronts in three-dimensional reaction-diffusion media with spatially modulated cross-section is studied using the Schlogl model as a representative example. Applying appropriate perturbation techniques leads first to a reduction of dimensionality in which the spatially dependent Neumann boundary condition translate into a boundary-induced advection term and, secondly, to an equation of motion for the traveling wave position in weakly corrugated confinements. Comparisons with numerical simulations demonstrate that our analytical results properly predicts the nonlinear dependence of the propagation velocity on ratio of the spatial period of the confinement to the intrinsic width of the front; including the peculiarity of propagation failure. Based on the eikonal equation, we obtain an analytical estimate for the finite interval of propagation failure. Lastly, we demonstrate that the front velocity is determined by the suppressed diffusivity of the reactants if the intrinsic width of the front is much larger than the spatial variation of the medium." @default.
- W2308387797 created "2016-06-24" @default.
- W2308387797 creator A5057680944 @default.
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- W2308387797 date "2015-02-02" @default.
- W2308387797 modified "2023-10-14" @default.
- W2308387797 title "Front propagation in channels with spatially modulated cross section" @default.
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- W2308387797 doi "https://doi.org/10.1103/physreve.91.022902" @default.
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