Fisher Equation with Turbulence in One Dimension
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CitationBenzi, Roberto and David R. Nelson. 2009. Fisher equation with turbulence in one dimension. Physica D: Nonlinear Phenomena 238(19): 2003–2015.
AbstractAs 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.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:8160728
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