We establish local existence and comparison for a model problem which incorporates the effects of non-linear diffusion, convection and reaction. The reaction term to be considered contains a non-local dependence, and we show that local solutions can be obtained via monotone limits of solutions to ap
Non-intrusive and exact global/local techniques for structural problems with local plasticity
✍ Scribed by Lionel Gendre; Olivier Allix; Pierre Gosselet; François Comte
- Book ID
- 106158443
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 661 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0178-7675
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📜 SIMILAR VOLUMES
The present paper is devoted to solving two types of problems: local problems over a periodicity cell and averaged global problems, which were set in Dimitrienko (1997) for porous media with phase transformations of the type: solid phase -gas. A periodicity cell with a cubic pore form is considered.
The proofs of Theorems 2 and 3 are very laborious and must be omitted. We merely mention that the proof of Theorem 2 is based on the definition of regular mapping, while the proof of Theorem 3 is based on Lemmas 6,7,17,18,and 19.