Fisher equation with turbulence in one dimension
arXiv:0902.0313 · doi:10.1016/j.physd.2009.07.015
Abstract
We investigate the dynamics of the Fisher equation for the spreading of micro-organisms in one dimension subject to both turbulent convection and diffusion. We show that for strong enough turbulence, bacteria, for example, track in a quasilocalized fashion (with remakably long persistance times) sinks in the turbulent field. An important consequence is a large reduction in the carrying capacity of the fluid medium. We determine analytically the regimes where this quasi-localized behavior occurs and test our predictions by numerical simulations.
15 pages
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Cited by in corpus (13)
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