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, CNRS-INRIA-ENSTA Paris

• Maryna Kachanovska, POEMS project-team, CNRS-INRIA-ENSTA Paris

In Chile: 

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

• Juan Pablo Cabeza, Universidad de Chile

• Alexander Quaas, Universidad Santa María

• Gabrielle Nornberg, Universidad de Chile

• Sebastián Zamorano, Universidad de Santiago de Chile

In Uruguay: 

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

• Juan Pablo Borthagaray, Universidad de la República

• Ignacio Bustamante, Universidad de la República

• Nahuel De León, Universidad de la República

• Nicolás Frevenza, Universidad de la República

• Camilo Rueda, Universidad de la República

• Luciana Sastre, Universidad de la República

In Colombia: 

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

• Francisco Albeiro Gómez Jaramillo, Universidad Nacional de Colombia

• César Augusto Gómez Sierra, Universidad Nacional de Colombia

In Argentina: 

• Andrea Ceretani, coordinador del proyecto MiLNE, Universidad de Buenos Aires

• Gabriel Acosta, Universidad de Buenos Aires

• Hernán Vivas, investigador, Universidad Nacional de Mar del Plata

• Alfredo Miranda, Universidad de Buenos Aires

• Julio Rossi, Universidad de Buenos Aires

In Brazil: 

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

• Marcone Corrêa Pereira, Universidad de São Paulo

• Boyan Sirakov, Pontifícia Universidade Católica do Rio de Janeiro

In Peru: 

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

In Ecuador: 

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