Opendata, web and dolomites

CuMiN

Currents and Minimizing Networks

Total Cost €

0

EC-Contrib. €

0

Partnership

0

Views

0

Project "CuMiN" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITA DEGLI STUDI DI VERONA 

Organization address
address: VIA DELL ARTIGLIERE 8
city: VERONA
postcode: 37129
website: www.univr.it

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Italy [IT]
 Project website https://annalisamassaccesi.wordpress.com/research/
 Total cost 180˙277 €
 EC max contribution 180˙277 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2016
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2017
 Duration (year-month-day) from 2017-09-01   to  2019-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITA DEGLI STUDI DI VERONA IT (VERONA) coordinator 180˙277.00

Map

 Project objective

The core of this project is Geometric Measure Theory and, in particular, currents and their interplay with the Calculus of Variations and Partial Differential Equations. Currents have been introduced as an effective and elegant generalization of surfaces, allowing the modeling of objects with singularities which fail to be represented by smooth submanifolds. In the first part of this project we propose new and innovative applications of currents with coefficient in a group to other problems of cost-minimizing networks typically arising in the Calculus of Variations and in Partial Differential Equations: with a suitable choice of the group of coefficients one can study optimal transport problems such as the Steiner tree problem, the irrigation problem (as a particular case of the Gilbert-Steiner problem), the singular structure of solutions to certain PDEs, variational problems for maps with values in a manifold, and also physically relevant problems such as crystals dislocations and liquid crystals. Since currents can be approximated by polyhedral chains, a major advantage of our approach to these problems is the numerical implementability of the involved methods. In the second part of the project we address a challenging and ambitious problem of a more classical flavor, namely, the boundary regularity for area-minimizing currents. In the last part of the project, we investigate fine geometric properties of normal and integral (not necessarily area-minimizing) currents. These properties allow for applications concerning celebrated results such as the Rademacher theorem on the differentiability of Lipschitz functions and a Frobenius theorem for currents. The Marie Skłodowska-Curie fellowship and the subsequent possibility of a close collaboration with Prof. Orlandi are a great opportunity of fulfillment of my project, which is original and independent but is also capable of collecting the best energies of several young collaborators.

 Publications

year authors and title journal last update
List of publications.
2019 Annalisa Massaccesi, Davide Vittone
An elementary proof of the rank-one theorem for BV functions
published pages: , ISSN: 1435-9855, DOI: 10.4171/jems/903
Journal of the European Mathematical Society 2020-01-27
2019 Andrea Marchese, Annalisa Massaccesi, Riccardo Tione
A Multimaterial Transport Problem and its Convex Relaxation via Rectifiable $G$-currents
published pages: 1965-1998, ISSN: 0036-1410, DOI: 10.1137/17m1162858
SIAM Journal on Mathematical Analysis 51/3 2020-01-27
2019 Sebastiano Don, Annalisa Massaccesi, Davide Vittone
Rank-one theorem and subgraphs of BV functions in Carnot groups
published pages: 687-715, ISSN: 0022-1236, DOI: 10.1016/j.jfa.2018.09.016
Journal of Functional Analysis 276/3 2020-01-27
2019 Maria Colombo, Camillo De Lellis, Annalisa Massaccesi
The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System
published pages: , ISSN: 0010-3640, DOI: 10.1002/cpa.21865
Communications on Pure and Applied Mathematics 2020-01-27

Are you the coordinator (or a participant) of this project? Plaese send me more information about the "CUMIN" project.

For instance: the website url (it has not provided by EU-opendata yet), the logo, a more detailed description of the project (in plain text as a rtf file or a word file), some pictures (as picture files, not embedded into any word file), twitter account, linkedin page, etc.

Send me an  email (fabio@fabiodisconzi.com) and I put them in your project's page as son as possible.

Thanks. And then put a link of this page into your project's website.

The information about "CUMIN" are provided by the European Opendata Portal: CORDIS opendata.

More projects from the same programme (H2020-EU.1.3.2.)

CO2COFs (2019)

New Heterogeneous Catalyst Materials for Hydrogenation of CO2 to Formic Acid: Metallophthalocyanine-Based 2D- and 3D Covalent Organic Frameworks

Read More  

MBL-Fermions (2020)

Probing many-body localization dynamics using ultracold fermions in an optical lattice

Read More  

INTERGLP1 (2020)

Dissecting GLP-1 receptor internalization pathways using genetic and pharmacological tools

Read More