Scientific Topic:

 

The goal of this workshop is to gather researchers working in the field of Partial Differential Equations with expertise in nonlocal and nonlinear equations. Among others, one of the simplest mathematical ways to describe many real-world problems is to start from a set of interacting particles, resulting in nonlocal and nonlinear PDEs in the many-particle limit. Despite the past progress in this field, recent discoveries in biology, plasma physics, and data science, among others, shed the lights on new challenges involving nonlocal structures, such as networks or graphs, and highly nonlinear and singular aggregation-diffusion equations. During the workshop we will focus on various mathematical issues in this direction, for instance: micro-macro description of diffusion process, evolutions on graphs, fluxes with nonlinear mobility, fourth-order aggregation-diffusion equations, etc.

 

This workshop is partially funded by the Advanced Grant Nonlocal-CPD: "Nonlocal PDEs for Complex Particle Dynamics: Phase Transitions, Patterns and Synchronization" of the European Research Council Executive Agency (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 883363).

 

Organizers: J. A. Carrillo (Univ. Oxford, UK), A. Esposito (Univ. dell’Aquila, Italy), F. Feo (Univ.  Napoli “Parthenope”, Italy), G. Savaré (Univ. Bocconi, Italy) and B. Volzone (Politecnico di Milano, Italy).

 

Speakers:

J. A. Cañizo (Univ. Granada, Spain)

Y.-P. Choi, (Yonsei Univ., South Korea)

M. Di Francesco (Univ. dell’Aquila, Italy)

J. Dolbeault (Univ. Paris-Dauphine, France)

V. Ferone (Univ. Napoli ``Federico II'', Italy)
D. Gómez-Castro (UAM, Spain)
G. Grillo (Politecnico di Milano, Italy)

A. Hraivoronska (Lyon, France)

F. Hoffmann (Caltech, USA)

A. Holzinger (Univ. Oxford, UK)
A. Juengel (TU-Wien, Austria)

E. Mainini (Univ. Genova, Italy)
M. Muratori (Politecnico Milano, Italy)

F. Punzo (Politecnico di Milano, Italy)

N. Pouradier-Duteil (INRIA JLL, France)

A. Schlichting (Univ.Ulm, Germany)

M. Schmidtchen (Univ. Dresden, Germany)

A. Segatti (Univ. of Pavia, Italy)

N. Simonov (Sorbonne Université, France)

J. Skrzeczkowski (Univ. Oxford, UK)
F. del Teso (UAM, Spain)
J. L. Vázquez (UAM, Spain)

Participants:

 

Practical Information:

• The scientific program will start on Monday at 9:00 and finish on Friday at 13:30.
  
  
• How to get to Anacapri.
  
  
• Conference Centre: The talks will take place at the Villa Rosa (Via Axel Munthe, 4) of the Comune di Anacapri.
  
  
• Social Dinner: it will be held on ... at ...
  
  
• Accommodation:
  
  Special rates in Hotel San Michele: http://www.sanmichele-capri.com/ have been arranged.
  Fare: double € 240,00 - double single use  € 200,00 breakfast included
  Hotel Reservation Deadline: March 1st,
  For the reservation, contact the Hotel directly at info@sanmichele-capri.com.
  
  Special Rates in Hotel Bellavista: Hotel Bellavista Anacapri have also been arranged.
  
Fare: double € 250,00 - single € 110,00 - Junior (x 2pp) € 300.
Hotel Reservation Deadline: April 21st.
For the reservation, contact the Hotel directly at info@bellavistacapri.com.