期刊
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
卷 54, 期 6, 页码 6288-6322出版社
SIAM PUBLICATIONS
DOI: 10.1137/21M1431977
关键词
local equations; nonlocal equations; couplings; elasticity
资金
- ANPCyT [PICT 2018- 3017]
- CONICET [PIP 11220130100184CO, PICT 2018 - 3017]
- PEDECIBA postdoctoral fellowship (Uruguay) [PIP GI 11220150100036CO]
- PICT grant [2018 - 3183]
- UBACyT [20020160100155BA]
This paper investigates two different ways of coupling local operators with nonlocal operators, obtaining equations related to energy functionals. Existence and uniqueness of solutions are proved by directly minimizing the related energy functionals. These ideas are then extended to local/nonlocal elasticity models coupling classical local elasticity with nonlocal peridynamics.
In this paper we study two different ways of coupling a local operator with a nonlocal one so 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 ideas to local/nonlocal elasticity models in which we couple classical local elasticity with nonlocal peridynamics.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据