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On a coupled set of nonlinear diffusion equations
- Source :
- Journal of Applied Physics. 51:5201
- Publication Year :
- 1980
- Publisher :
- AIP Publishing, 1980.
-
Abstract
- We show that the set of coupled nonlinear diffusion equations nt =μnxx−d [(n/s)sx]x and st =Dsxx−AnsB admits a self‐similar solution. These equations have been used in biology to model the migration of bacteria into a substrate. An asymptotic solution in the limit of large η≡x/(4xt)1/2 is obtained.
Details
- ISSN :
- 00218979
- Volume :
- 51
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Physics
- Accession number :
- edsair.doi...........033ed99c50cb478b6be7602cbd3bc784
- Full Text :
- https://doi.org/10.1063/1.327433