Journal article

A non-local vector calculus,non-local volume-constrained problems,and non-local balance laws

Abstract:

A vector calculus for nonlocal operators is developed, including the definition of nonlocal divergence, gradient, and curl operators and the derivation of the corresponding adjoints operators. Nonlocal analogs of several theorems and identities of the vector calculus for differential operators are also presented. Relationships between the nonlocal operators and their differential counterparts are established, first in a distributional sense and then in a weak sense by considering weighted int...

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Publication date:
2011-01-01
URN:
uuid:5d9607c1-46cb-48a5-b448-e3079cd04fec
Local pid:
oai:eprints.maths.ox.ac.uk:1437