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Traveling wave solutions in parametric forms for a diffusion model with a nonlinear rate of growth
Time averaging in turbulence settings may reveal an infinite hierarchy of length scales
1.  Department of Mathematics, University of Utah, 155 S. 1400 E., Salt Lake City, UT 841120090, United States 
2.  Department of Mechanical Engineering, University of New Hampshire, Durham, NH 03824, United States 
3.  Department of Mechanical and Nuclear Engineering, Pennsylvania State University, University Park, PA 16802, United States 
Our emphasis will be on the question of how and how well these arguments supply insight into the structure of the mean flow profiles. Although empirical results may initiate the search for explanations, they will be viewed simply as means to that end.
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