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

Goro Akagi, Giulio Schimperna

Research output: Contribution to journalArticlepeer-review

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 regularising terms.

Original languageEnglish
JournalEuropean Journal of Applied Mathematics
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • a priori estimates
  • damage phenomena
  • Degenerate elliptic-parabolic system
  • local existence

ASJC Scopus subject areas

  • Applied Mathematics

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