MiLNE: Mixed local and nonlocal equations: analytic, numerical and probabilistic aspects

• Universidad San Francisco de Quito (Ecuador)

• Universidade Estadual de Campinas (UNICAMP) (Brazil)

• Universidad de la República (Uruguay)

• Université Paris-Est Créteil (France)

• Universidad Nacional de Colombia (Colombia)

• Pontificia Universidad Católica de Chile (UC) (Chile)

• Universidad Nacional de Trujillo (Peru)

• Universidad Nacional de Mar del Plata (Argentina)

• POEMS project-team, Inria Saclay Centre, Inria (France)

This project aims to contribute to the study of the interaction between local, or integer order, and nonlocal, or fractional order, equations. Both of these separately (since the 19th century the former and more  recently the latter) have received much attention from the Partial Differential Equations, Probabilistic and Numerical Analysis Communities.

We will approach the study from the analytic, probabilistic and computational/numerical points of view, as we consider that different aspects of the problem are complementary in the overall understanding of  the models in question. The specific problems to be studied have connections to problems in material sciences and phase transitions, game theory, image processing, population dynamics and optimal  control theory, among others.

In France: 

• Aurelia Deshayes, researcher, MiLNE coordinator, Université Paris-Est Créteil

• Patrick Ciarlet, researcher, POEMS project-team, Inria Saclay Centre, Inria

In Chile: 

• Mariel Sáez-Trumper, researcher, MiLNE coordinator, Pontificia Universidad Católica de Chile

In Uruguay: 

• Leandro Del Pezzo, researcher, MiLNE coordinator, Universidad de la República

In Colombia: 

• Juan Galvis, researcher, MiLNE coordinator, Universidad Nacional de Colombia

In Argentina: 

• Hernán Vivas, researcher, MiLNE coordinator, Universidad Nacional de Mar del Plata

In Brazil: 

• João Vítor Da Silva, researcher, MiLNE coordinator, Universidade Estadual de Campinas

In Peru: 

• César Torres Ledesma, researcher, MiLNE coordinator, Universidad Nacional de Trujillo

In Ecuador: 

• Wilfredo Angulo, researcher, MiLNE coordinator, Universidad San Francisco de Quito