Wellposedness of a nonlinear peridynamic model
Giuseppe Maria Coclite, Serena Dipierro, Francesco Maddalena and, Enrico Valdinoci
TL;DR
This paper establishes the mathematical well-posedness of a nonlinear peridynamic evolution model, proving that solutions exist, are unique, and stable over time.
Contribution
It provides the first rigorous analysis of global existence, uniqueness, and stability for a nonlinear peridynamic model with singular interactions.
Findings
Proved global in time existence of solutions.
Established uniqueness and stability of solutions.
Analyzed a model with singular pairwise forces.
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.
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