Local well-posedness for Frémond's model of complete damage in elastic solids

2020/06/25 by Goro Akagi, Akagi, Goro, Giulio Schimperna +1
Computer Science · Engineering · #35K55 #35K86 #35M33 #35Q74 #74R05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2006.14240

openalex publication_date 2020/06/25 · openalex created_date 2020/07/02 · openalex updated_date 2026/07/28

Abstract

We consider a model for the evolution of damage in elastic materials originally proposed by Michel Frémond. 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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