Seminars & Colloquia Calendar

Download as iCal file

Nonlinear Analysis

Localization of nonlocal continuum models

Qiang Du: Columbia University

Location:  Hill 705
Date & time: Tuesday, 07 February 2017 at 1:40PM - 1:41PM

Recent development of nonlocal vector calculus and nonlocalcalculus of variations provides a systematic mathematicalframework for the analysis of nonlocal continuum models in the form of partial-integral equations. In this lecture, we discuss the localization of some nonlocal models and associated nonlocal function spaces in order to study connections with traditionallocal models given by partial differential equations and Sobolev spaces. In particular, we present some recent results on heterogeneous localization of nonlocal space including an extension of classical trace theorems to nonlocal spaces of functions with significantly weaker regularity. We also discuss their implications in nonlocal modeling of multiscale processes.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.