Institut für Mathematik

Vortrag

Modul:   MAT870  Zurich Colloquium in Applied and Computational Mathematics

Recent progress on nonlocal modeling, analysis and applications

Vortrag von Prof. Dr. Qiang Du

Datum: 03.11.21   Zeit: 16.15 - 17.15   Raum: Online ZHACM

Nonlocality has become increasingly noticeable in nature. The modeling and simulation of its presence and impact motivate new development of mathematical theory. In this lecture, we focus on nonlocal models with a finite horizon of interactions, and illustrate their roles in the understanding of various phenomena involving anomalies, singularities and other effects due to nonlocal interactions. We also present some recent analytical studies concerning nonlocal operators and nonlocal function spaces. The theoretical advances are making nonlocal modeling and simulations more reliable, effective and robust for applications ranging from classical mechanics to traffic flows of autonomous and connected vehicles.