Enhanced diffusion on a one-dimensional fractal
β Scribed by Mithu Chatterji; Ruma Dasgupta; T.K. Ballabh; S. Tarafdar
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 231 KB
- Volume
- 179
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
We investigate the nonlinear diffusion equation βu/βt = u + u p p > 1 on certain unbounded fractal domains, where is the infinitesimal generator of the semigroup associated with a corresponding heat kernel. We show that there are nonnegative global solutions for non-negative initial data if p > 1 +
The concept of a diffusion coefficient dependent on a differential fractal dimension has been introduced into the theoretical treatment of diffusion-controlled reactions between particles lacking long-range interactions. By this means Smoluchowski's theory can be extended to the more realistic case