Multidimensional singular diffusion
โ Scribed by J. R. King
- Book ID
- 104633266
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 938 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0022-0833
No coin nor oath required. For personal study only.
โฆ Synopsis
We consider the nonlinear diffusion equation u, = V(u -"Vu) for dimension N -2 in the cases n > 1, N = 2 and n -1, N -3 in which there are no finite mass solutions. We concentrate on the physically motivated case of a small but non-zero background concentration, using asymptotic methods to analyse the limit in which this background concentration goes to zero.
๐ SIMILAR VOLUMES
The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing shar
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