Recently, there has a wave of interest in developing continuous or discrete nonlocal models and PDEs for a variety of problems arising in physics, biology, social sciences, image processing and machine learning.

Whereas local models based on classical differential operators capture the properties at point for a given function, nonlocal models based on integral operators of an appropriate structure can be used to model phenomena characterized by singular or discontinuous behaviors. They can also be used to approximate local models as the width of the interaction kernel shrinks to zero on the space of sufficiently smooth functions.

This workshop on Nonlocal Models, PDEs and Applications 2019 will focus on recent developments in the area of nonlocal models, PDEs and their various applications. It will bring together internationally recognized experts for young researchers and students are encouraged to present their work during poster sessions.

The topics include

• Local and Nonlocal Partial Differential Equations
• PDES and  Applications
• Partial Differential Equations on Graphs and Networks
• Nonlocal techniques in image processing and machine learning
• Numerical Methods for PDE

Sponsors

This Workshop is funded by the MoNoMaD project : Modèles Non locaux et Masse de Données : de la théorie, l'aide à la décision en Imagerie Médicale à la valorisation du Patrimoine 3D Normand and the European Union’s Horizon 2020 research and innovation programme under the Marie Sk lodowska-Curie grant agreement No 777826 (NoMADS).

This Workshop is also funded by the ANR SUMUM and the Réseaux d’Intérêts Normands (RIN).