Improved spatial decay bounds in generalized heat conduction
β Scribed by L. E. Payne; J. C. Song
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 156 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0044-2275
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π SIMILAR VOLUMES
The criterion,for the existence of a steady-state temperature distribution in a plane slab or system with internal heat generation is critically examined. The rate of heat generation from the non-uniformly populated heat sources in the slab is assumed to be linearly dependent on the temperature dijj
In this paper we consider two different initial-boundary value problems in generalized heat conduction. We first establish continuous dependence on the initial-time geometry in an exterior region for solutions of one well studied model system. We then derive inequalities which imply continuous depen