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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.

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

GORO AKAGI;GIULIO SCHIMPERNA
2021-01-01

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.
2021
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
EUROPEAN JOURNAL OF APPLIED MATHEMATICS
sì
WOS:000763361200001
2-s2.0-85102025140
Esperti anonimi
Inglese
Internazionale
ELETTRONICO
33
2
309
327
19
Degenerate elliptic–parabolic system, damage phenomena, local existence, a priori estimates
https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/local-wellposedness-for-fremonds-model-of-complete-damage-in-elastic-solids/AEE8B95BA923343C11EFFF8654C628FC
sì
2
info:eu-repo/semantics/article
262
Akagi, Goro; Schimperna, GIULIO FERNANDO
1 Contributo su Rivista::1.1 Articolo in rivista
none
1.1 Articolo in rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1468156
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