Fisher equation with turbulence in one dimension.

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.

• Publication year

  2009

• Venue

  Physica D: Nonlinear Phenomena

• Publication date

  2009-02-02

• Fields of study

  Biology, Mathematics, Physics, Environmental Science

• Identifiers
  DOI 10.1016/j.physd.2009.07.015arXiv 0902.0313
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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