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Multi-structures: asymptotic analysis and singular perturbation problems |
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| Institution: | 1. RISE Bioscience and Materials, Göteborg, Sweden;2. VINN Excellence Center SuMo Biomaterials, Chalmers University of Technology, Göteborg, Sweden;3. School of Energy and Resources, UCL Australia, University College London, Adelaide, Australia;4. Department of Applied Physics, Chalmers University of Technology, Göteborg, Sweden |
| Abstract: | This review paper gives an outline of mathematical models of multi-structures. The approach is based on an asymptotic analysis of a class of elliptic boundary value problems posed in singularly perturbed domains. A particular attention is given to formulation of the “junction conditions” to link different parts of the multi-structure. The paper also discusses a range of applications of this asymptotic theory in physics and mechanics. |
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