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
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)
FUNDINGS AND SPONSORS
Research Project of National Relevance “Evolution problems involving interacting scales” granted by the Italian Ministry of Education, University and Research (MUR Prin 2022, project code 2022M9BKBC, Grant No. CUP D53D23005880006)
Università degli Studi di Palermo
Dipartimento di Matematica e Informatica dell'Università degli Studi di Palermo
