12 citations · 26 across the 9 of their papers we have counts for
5 papers · 1 filter
A nonlocal Stokes system with volume constraints
Qiang Du, Zuoqiang Shi
In this paper, we introduce a nonlocal model for linear steady Stokes system with physical no-slip boundary condition. We use the idea of volume constraint to enforce the no-slip b…
Second order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems
Hwi Lee, Qiang Du
We present an approach to handle Dirichlet type nonlocal boundary conditions for nonlocal diffusion models with a finite range of nonlocal interactions. Our approach utilizes a lin…
Nonlocal Trace Spaces and Extension Results for Nonlocal Calculus
Qiang Du, Xiaochuan Tian, Cory Wright +1
For a given Lipschitz domain , it is a classical result that the trace space of is , namely any function has a well-defined $W^…
Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications
Hwi Lee, Qiang Du
Nonlocal gradient operators are prototypical nonlocal differential operators thatare very important in the studies of nonlocal models. One of the simplest variational settings for…
Stochastic representation of solution to nonlocal-in-time diffusion
Qiang Du, Lorenzo Toniazzi, Zhi Zhou
The aim of this paper is to give a stochastic representation for the solution to a natural extension of the Caputo-type evolution equation. The nonlocal-in-time operator is defined…