Multiscale and Nonlocal Problems in PDEs

Nowadays it is widely recognized that the behavior of any physical system at some (spatio-temporal) scale is deeply ruled by laws involving other different scales and these laws are largely unknown. The paradigmatic problem of turbulence in fluids constitutes the most tangible manifestation of this reality, but many other still inexplicable phenomena seem to depend on the interplay through the scales of the governing laws. These problems affect biological materials as well as geophysical materials. The understanding of this issue asks for a collective effort of many scientific areas and mathematics plays a fundamental role in detecting the right conceptual framework needed to push knowledge forward.

DATE

June 20 - 21, 2024

LOCATION

Hotel Principe di Villafranca, Palermo

http://www.principedivillafranca.it/index.php/it/

INVITED SPEAKERS

• Luis Neves de Almeida (Laboratoire Jacques-Louis Lions Sorbonne Université)

• Alessandro Coclite (Politecnico di Bari)

• Nicola De Nitti (École Polytechnique Fédérale de Lausanne)

• Ingenuin Gasser (Universität Hamburg)

• Andrea Giacobbe (Università degli Studi di Catania)

• David J.B. Lloyd (University of Surrey)

• Francesco Maddalena (Politecnico di Bari)

• Gianluca Orlando (Politecnico di Bari)

• Dian Kostadinov Palagachev (Politecnico di Bari)

• Chiara Piazzola (Technical University of Munich)

• Rossella Rizzo (Università degli Studi di Palermo)

• Marco Sammartino (Università degli Studi di Palermo)

• Jan-Eric Sulzbach (Technical University of Munich)

PROGRAM

Link to the program in pdf format

June 20, 2024

09:30 - 10:00 | Opening

10:00 - 10:40 | Ingenuin Gasser 

10:40 - 11:10 | Coffee Break

11:10 - 11:50 | Alessandro Coclite

11:50 - 12:30 | Gianluca Orlando 

13:00 - 15:00 | Lunch

15:00 - 15:40 | David Lloyd

15:40 - 16:20 | Chiara Piazzola 

16:20 - 17:00 | Coffee Break

17:00 - 17:40 | Andrea Giacobbe 

20:30 | Social Dinner

June 21, 2024

09:30 - 10:10 | Luis Almeida 

10:10 - 10:50 | Nicola De Nitti 

10:50 - 11:30 | Coffee Break 

11:30 - 12:10 | Marco Sammartino

12:10 - 12:50 | Dian K. Palagachev

13:00 - 15:00 | Lunch 

15:00 - 15:40 | Francesco Maddalena 

15:40 - 16:20 | Jan-Eric Sulzbach

16:20 - 17:00 | Coffee break

17:00 - 17:40 | Rossella Rizzo

17:40 - 18:00 | Closing

TITLES AND ABSTRACTS

Click on the title to download the abstract of the presentation.

• Luis Neves de Almeida. Mathematical models for mosquito and pest population control

• Alessandro Coclite. A fully second order scheme for nonlinear peridynamics on manifolds

• Nicola De Nitti. Sharp bounds on enstrophy growth for viscous scalar conservation laws

• Ingenuin Gasser. Modelling, simulation and optimisation of power plants based on renewable energies

• Andrea Giacobbe. Stability and chains of equilibria 

• David J.B. Lloyd. Advances in the analysis of multidimensional localised patterns

• Francesco Maddalena. Nonlocal Evolutions in Continuum Mechanics

• Gianluca Orlando. Stacking faults in the discrete-to-continuum limit of a model for partial edge dislocations

• Dian Kostadinov Palagachev. Lp theory of Venttsel BVPs with discontinuous data

• Chiara Piazzola. Bifurcation analysis of PDEs with random coefficients

• Rossella Rizzo. Cytokine-induced coherent structures in a reaction-diffusion-chemotaxis model of Multiple Sclerosis

• Marco Sammartino. Euler and Navier-Stokes equations with data analytic close to the boundary.

• Jan-Eric Sulzbach. Slow Manifolds in Multiscale PDEs

SCIENTIFIC AND ORGANIZING COMMITTEE

• Giuseppe Maria Coclite (Politecnico di Bari) 

• Gaetana Gambino (Università degli Studi di Palermo)

• Maria Carmela Lombardo (Università degli Studi di Palermo)

• Vincenzo Sciacca (Università degli Studi di Palermo) 

CONTACTS

mnppdes24@gmail.com