6 citations · 9 across the 10 of their papers we have counts for
4 papers · 1 filter
Nonlocal Stokes equation with relaxation on the divergence free equation
Yajie Zhang, Qiang Du, Zuoqiang Shi
In this paper, we consider a new nonlocal approximation to the linear Stokes system with periodic boundary conditions in two and three dimensional spaces . A relaxation term is add…
Nonlocal problems with local boundary conditions II: Green's identities and regularity of solutions
James M. Scott, Qiang Du
We study nonlocal integral equations on bounded domains with finite-range nonlocal interactions that are localized at the boundary. We establish a Green's identity for the nonlocal…
Nonlocal problems with local boundary conditions I: function spaces and variational principles
James M. Scott, Qiang Du
We present a systematic study on a class of nonlocal integral functionals for functions defined on a bounded domain and the naturally induced function spaces. The function spaces a…
Nonlocal boundary-value problems with local boundary conditions
James M. Scott, Qiang Du
We describe and analyze nonlocal integro-differential equations with classical local boundary conditions. The interaction kernel of the nonlocal operator has horizon parameter depe…