• Corpus ID: 235795077

Local and nonlocal energy-based coupling models

@inproceedings{Acosta2021LocalAN,
  title={Local and nonlocal energy-based coupling models},
  author={Gabriel Acosta and Francisco M. Bersetche and Julio D. Rossi},
  year={2021}
}
In this paper we study two different ways of coupling a local operator with a nonlocal one in such a way that the resulting equation is related to an energy functional. In the first strategy the coupling is given via source terms in the equation and in the second one a flux condition in the local part appears. For both models we prove existence and uniqueness of a solution that is obtained via direct minimization of the related energy functional. In the second part of this paper we extend these… 
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