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arXiv · 2006.14240

Local well-posedness for Fr\'emond's model of complete damage in elastic solids

Goro Akagi·Giulio Schimperna
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Abstract

We consider a model for the evolution of damage in elastic materials originally proposed by Michel Fr\'emond. For the corresponding PDE system we prove existence and uniqueness of a local in time strong solution. The main novelty of our result stands in the fact that, differently from previous contributions, we assume no occurrence of any type of regularizing terms.

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Goro Akagi, Giulio Schimperna. 2020-06-25. Local well-posedness for Fr\'emond's model of complete damage in elastic solids. https://arxiv.org/abs/2006.14240

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