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

Goro Akagi; Giulio Schimperna

doi:10.1017/S0956792521000024

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

Goro Akagi, Giulio Schimperna

SCI - Mathematics

University of Pavia

Research output: Contribution to journal › Article › peer-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 language	English
Journal	European Journal of Applied Mathematics
DOIs	https://doi.org/10.1017/S0956792521000024
Publication status	Accepted/In press - 2021

Keywords

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

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10.1017/S0956792521000024

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title = "Local well-posedness for Fr{\'e}mond's model of complete damage in elastic solids",

abstract = "We consider a model for the evolution of damage in elastic materials originally proposed by Michel Fr{\'e}mond. 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.",

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author = "Goro Akagi and Giulio Schimperna",

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AU - Schimperna, Giulio

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PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

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KW - damage phenomena

KW - Degenerate elliptic-parabolic system

KW - local existence

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JO - European Journal of Applied Mathematics

JF - European Journal of Applied Mathematics

ER -

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

Abstract

Keywords

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