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.

Wellposedness of a Nonlinear Peridynamic Model / Coclite, Giuseppe Maria; Dipierro, Serena; Maddalena, Francesco; Valdinoci, Enrico. - In: NONLINEARITY. - ISSN 0951-7715. - STAMPA. - 32:(2019), pp. 1-21. [10.1088/1361-6544/aae71b]

Wellposedness of a Nonlinear Peridynamic Model

Giuseppe Maria Coclite
;
Francesco Maddalena;
2019-01-01

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.
2019
Wellposedness of a Nonlinear Peridynamic Model / Coclite, Giuseppe Maria; Dipierro, Serena; Maddalena, Francesco; Valdinoci, Enrico. - In: NONLINEARITY. - ISSN 0951-7715. - STAMPA. - 32:(2019), pp. 1-21. [10.1088/1361-6544/aae71b]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/126922
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