COMPAT

Complex Patterns for Strongly Interacting Dynamical Systems

 Coordinatore UNIVERSITA DEGLI STUDI DI TORINO 

Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.

 Nazionalità Coordinatore Italy [IT]
 Totale costo 1˙346˙145 €
 EC contributo 1˙346˙145 €
 Programma FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call ERC-2013-ADG
 Funding Scheme ERC-AG
 Anno di inizio 2014
 Periodo (anno-mese-giorno) 2014-02-01   -   2019-01-31

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITA DEGLI STUDI DI TORINO

 Organization address address: Via Giuseppe Verdi 8
city: TORINO
postcode: 10124

contact info
Titolo: Dr.
Nome: Marilena
Cognome: Cavaglia'
Email: send email
Telefono: 390117000000
Fax: 390117000000

IT (TORINO) hostInstitution 1˙346˙145.00
2    UNIVERSITA DEGLI STUDI DI TORINO

 Organization address address: Via Giuseppe Verdi 8
city: TORINO
postcode: 10124

contact info
Titolo: Prof.
Nome: Susanna
Cognome: Terracini
Email: send email
Telefono: 39028057360
Fax: 390117000000

IT (TORINO) hostInstitution 1˙346˙145.00

Mappa


 Word cloud

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competing    deal    interactions    nonlinear    competition    body    problem    equations       solutions    dynamics    differential    parabolic   

 Obiettivo del progetto (Objective)

'This project focuses on nontrivial solutions of systems of differential equations characterized by strongly nonlinear interactions. We are interested in the effect of the nonlinearities on the emergence of non trivial self-organized structures. Such patterns correspond to selected solutions of the differential system possessing special symmetries or shadowing particular shapes. We want to understand, from the mathematical point of view, what are the main mechanisms involved in the aggregation process in terms of the global variational structure of the problem. Following this common thread, we deal with both with the classical N-body problem of Celestial Mechanics, where interactions feature attractive singularities, and competition-diffusion systems, where pattern formation is driven by strongly repulsive forces. More precisely, we are interested in periodic and bounded solutions, parabolic trajectories with the final intent to build complex motions and possibly obtain the symbolic dynamics for the general N–body problem. On the other hand, we deal with elliptic, parabolic and hyperbolic systems of differential equations with strongly competing interaction terms, modeling both the dynamics of competing populations (Lotka- Volterra systems) and other interesting physical phenomena, among which the phase segregation of solitary waves of Gross-Pitaevskii systems arising in the study of multicomponent Bose-Einstein condensates. In particular, we will study existence, multiplicity and asymptotic expansions of solutions when the competition parameter tends to infinity. We shall be concerned with optimal partition problems related to linear and nonlinear eigenvalues'

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