Mathematical Sciences Department PDE/Analysis Seminar: Nicole Buczkowski, WPI

Thursday, September 12th, 2024

1:00 PM - 2:00 PM

Stratton Hall 301

Title: Convergence of Nonlocal Operators to Classical Operators

Abstract: Nonlocal models have gained interest due to their capability of handling discontinuities and modeling a range of interactions through different choices for kernels. For these reasons nonlocal models are used, for example, in flocking, sandpiling, image processing, and peridynamics (fracture mechanics). Convergence of a nonlocal operator to a classical operator under given criteria is valuable for its use in showing correspondence between new frameworks and classical models. In this talk, we look at convergence as the horizon, a parameter that gives the range of nonlocal interaction, goes to zero. We also focus on the rate of convergence as a function of the horizon.
Thursday,