Fisher Equation with Turbulence in One Dimension
| 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. |
| Full Text & Related Files: |
0902.0313v1.pdf (1.703Mb; PDF) 
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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 |
| Other Sources: | http://arxiv.org/abs/0902.0313v1 |
| Terms of Use: | This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:8160728 |
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