Second Workshop on Multiscale and Nonlocal Problems in PDEs

The Second Workshop on Multiscale and Nonlocal Problems in PDEs continues the exploration of the complex interplay between different scales that govern physical systems. Many phenomena—ranging from fluid turbulence to biological and geophysical materials—remain largely inexplicable due to their dependence on multiscale interactions. Addressing these challenges requires a collaborative effort across scientific disciplines, with mathematics playing a central role in formulating the conceptual frameworks necessary to advance understanding. This second edition aims to deepen the discussion started in the first workshop and foster new insights into these pressing, interdisciplinary problems.

DATE

June 19 - 20, 2025

LOCATION

Aula 2, Politecnico di Bari

via E. Orabona 4 - 70125 Bari

Information on how to reach the venue.

INVITED SPEAKERS

• Massimiliano Berti (SISSA Scuola Internazionale Superiore di Studi Avanzati, Trieste)

• Sebastiano Boscarino (Università degli Studi di Catania)

• Marco Cicalese (Technische Universität München)

• Jean Clairambault (Inria and LJLL, Sorbonne Université, Paris)

• Donatella Donatelli (Università degli Studi dell'Aquila)

• Giuseppe Fanizza (Università LUM "Giuseppe Degennaro")

• Gaetana Gambino (Università degli Studi di Palermo)

• Mauro Garavello (Università degli Studi di Milano Bicocca)

• Francesco Gargano (Università degli Studi di Palermo)

• Matthias Gerdts (Universität der Bundeswehr München)

• Maria Carmela Lombardo (Università degli Studi di Palermo)

• Elio Marconi (Università degli Studi di Padova)

• Nils Henrik Risebro (Universitetet i Oslo)

• Vincenzo Sciacca (Università degli Studi di Palermo)

• Mirco Zaccariotto (Università degli Studi di Padova)

SCIENTIFIC AND ORGANIZING COMMITTEE

• Alessandro Coclite (Politecnico di Bari) 

• Giuseppe Maria Coclite (Politecnico di Bari) 

• Nicola De Nitti (Università di Pisa)

• Francesco Maddalena (Politecnico di Bari) 

• Gianluca Orlando (Politecnico di Bari) 

• Dian Kostadinov Palagachev (Politecnico di Bari) 

• Marco Sammartino (Università degli Studi di Palermo)

PROGRAM

19/06/2025

• 09:30 – 10:05 | Registration/Opening

• 10:10 – 10:45 | M. C. Lombardo: Exploring immune pathways and remyelination in Multiple Sclerosis

• 10:45 – 11:15 | Coffee break

• 11:15 – 11:50 | N. H. Risebro: Upwind filtering of scalar conservation laws

• 11:55 – 12:30 | D. Donatelli: The 1d stochastic quantum-Navier-Stokes equations: weak and strong solutions

• 12:35 – 13:10 | S. Boscarino: High Order Semi-implicit schemes for Evolutionary PDEs with Higher-Order Derivatives

• 13:10 – 15:00 | Lunch

• 15:00 – 15:35 | M. Cicalese: Concentration Phenomena in Magnetic Lattice Models

• 15:40 – 16:15 | V. Sciacca: Long-Time Asymptotics of the 2D-Viscous MHD Equations

• 16:15 – 16:45 | Coffee break

• 16:45 – 17:20 | M. Garavello: Nonlocal Multi-D Systems of Hyperbolic Equations

• 17:25 – 17:55 | G. Gambino: Subharmonic instabilities and the Emergence of Oscillatory Patterns in Reaction-Diffusion Systems with Nonlinear Diffusion

20/06/2025

• 09:30 – 10:05 | J. Clairambault: Nonlocal dynamics of cell populations evolving under pressure: Continuous phenotype-structured equations

• 10:10 – 10:45 | M. Gerdts: Optimal Control Problems with Differential-algebraic equations and PDE applications

• 10:45 – 11:15 | Coffee break

• 11:15 – 11:50 | F. Gargano: Spatial Feedbacks and Self-Organization in Posidonia oceanica Meadows

• 11:55 – 12:30 | M. Berti: Almost global existence of space periodic water waves

• 12:35 – 13:10 | M. Zaccariotto: Advancements in computational Peridynamics:
    efficient implementation strategies and numerical enhancements

• 13:10 – 15:00 | Lunch

• 15:00 – 15:35 | G. Fanizza: Energy cascade in a semilinear nonlocal model of elasticity

• 15:40 – 16:15 | E. Marconi: On the local limit of nonlocal conservation laws

TITLES AND ABSTRACTS

Click on the title to download the book of abstracts.