Wellposedness of a nonlinear peridynamic model

Giuseppe Maria Coclite, Serena Dipierro, Francesco Maddalena, Enrico Valdinoci

Research output: Contribution to journalArticle

Abstract

We consider an evolution equation inspired by a model in peridynamics, with a singular pairwise interaction force term, and we give global in time existence, uniqueness and stability results for the Cauchy problem.

Original languageEnglish
Pages (from-to)1-21
Number of pages21
JournalNonlinearity
Volume32
Issue number1
DOIs
Publication statusPublished - Jan 2019

Cite this

Coclite, Giuseppe Maria ; Dipierro, Serena ; Maddalena, Francesco ; Valdinoci, Enrico. / Wellposedness of a nonlinear peridynamic model. In: Nonlinearity. 2019 ; Vol. 32, No. 1. pp. 1-21.
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Wellposedness of a nonlinear peridynamic model. / Coclite, Giuseppe Maria; Dipierro, Serena; Maddalena, Francesco; Valdinoci, Enrico.

In: Nonlinearity, Vol. 32, No. 1, 01.2019, p. 1-21.

Research output: Contribution to journalArticle

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AU - Dipierro, Serena

AU - Maddalena, Francesco

AU - Valdinoci, Enrico

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KW - nonlocal continuum mechanics

KW - elasticity

KW - WELL-POSEDNESS

KW - CONVERGENCE

KW - FRACTURE

U2 - 10.1088/1361-6544/aae71b

DO - 10.1088/1361-6544/aae71b

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