Partial Differential Equations

Participants

Line Leader: Lucrezia Cossetti

Members: Jone Apraiz, Naiara Arrizabalaga, Jon Asier Bárcena, Carlota María Cuesta, Francisco de la Hoz, Miguel Escobedo, Luca Fanelli, Aingeru Fernández-Bertolín, Andoni García Alonso, Mikel Ispizua, Osane Oruetxebarria, Judith Rivas, Gonzalo Romera Oña, Luis Vega

General objectives:

1. Neural networks for PDE (Jon Asier Bárcena, with contributions from Judith Rivas)

2. Non-local evolution equations and numerical methods (Carlota María Cuesta and Francisco de la Hoz, with participation from Mikel Ispizua)

3. Controllability, unique continuation and inverse problesm (Jone Apraiz and Jon Asier Bárcena, with participation from Aingeru Fernández-Bertolín and Andoni García Alonso)

4. Kinetic equations (Miguel Escobedo, with contributions from Luis Vega on turbulence and dispersive links)

5. Dirac equation (Lucrezia Cossetti and Luca Fanelli, with contributions from Naiara Arrizabalaga on spectral aspects)

6. Fluid dynamics and vortex filaments (Luis Vega and Francisco de la Hoz, with contributions from Mikel Ispizua, Miguel Fontelos and collaborators)

7. Thin-Film equation: self-similar lifting and rupture (Carlota María Cuesta)