Fisher Equation with Turbulence in One Dimension

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Fisher Equation with Turbulence in One Dimension

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Title: Fisher Equation with Turbulence in One Dimension
Author: Benzi, Roberto; Nelson, David R.

Note: Order does not necessarily reflect citation order of authors.

Citation: Benzi, Roberto and David R. Nelson. 2009. Fisher equation with turbulence in one dimension. Physica D: Nonlinear Phenomena 238(19): 2003–2015.
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Abstract: As an example of life at high Reynolds number, 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 remarkably long persistence times), sinks in the turbulent field. An important consequence is a large reduction in the carrying capacity of the fluid medium. We analytically determine the regimes where this quasi-localized behavior occurs and test our predictions by numerical simulations.
Published Version: doi:10.1016/j.physd.2009.07.015
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