Abstract
In this paper, we consider parabolic nonlocal problems in thin domains. Fix and consider
be the solution to
with initial condition
and a kernel of the form
with J non-singular. This corresponds (via a simple change of variables) to the usual nonlocal evolution problem
, in the thin domain
. Our main result says that there is a limit as
of the solutions to our problem and that this limit, when we take its mean value in the
-direction, is a solution to a limit nonlocal problem in the projected set
.
Disclosure statement
No potential conflict of interest was reported by the authors.