Networks and similar structures

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WG3 - Networks and similar structures

Overview

The cell cycle, as well as the exploitation of a biological resource or demographic models, lead to renewal equations (i.e., balance laws with possibly nonlocal boundary conditions) on graphs. Their analytic treatment has some features that resemble that of models for vehicular traffic on road networks. Coupled systems of PDEs of different types can then be stated on various geometric structures, in particular graphs or networks. While the development of a very general abstract theory comprising all these situations might look ineffective in this particular case, the use of subtle analytic tools in specific applications is likely to be highly productive.

Tasks

  1. Apply the theory developed in WG1 and WG2 to DSNs.
  2. Develop the appropriate approach to study dynamical processes on multi-structures, especially hypergraphs and ramified spaces.
  3. Use the semigroup approach to study nonlinear dynamical systems on networks.
  4. In collaboration with WG5 test ad hoc numerical algorithms dedicated to specific models.

Members

Leader

Serge NICAISE France

Polytechnic University of Hautsde-France


France
No additional info
Vice Leader

Aleksandra PUCHALSKA Poland

University of Warsaw
Krakowskie Przedmieście 26/28
Warsaw
Poland
No additional info

Working Group Participants

Besiana ÇOBANI

Albania
University of Tirana
BULEVARDI ZOGU I PARE
Tirana
Albania

Valma PRIFTI

Albania
Polytechnic University of Tirana
Mother Teresa Square, No. 4
Tirana
Albania

Alessandro Chiumento

Belgium
Catholic University of Leuven

Leuven
Belgium

Alexandre MAUROY

Belgium
University of Namur
8 rempart de la Vierge
Namur
Belgium
Operator-theoretic methods in dynamical systems theory ; Koopman operator theory ; Control theory ; Network identification

Nikolay VITANOV

Bulgaria
Bulgarian Academy of Sciences
Akad. G. Bonchev Str., Bl. 4
Sofia
Bulgaria

Zlatinka DIMITROVA

Bulgaria
Bulgarian Academy of Sciences
Tzarigradsko Chausse Blvd. 72
Sofia
Bulgaria

Ivica NAKIĆ

Croatia
University of Zagreb
Bijenička cesta 30
Zagreb
Croatia

Paola GOATIN

France
Inria
2004, route des Lucioles - BP 93
Sophia Antipolis - Méditerranée
France
Hyperbolic systems of conservation laws; Finite volume numerical schemes; Macroscopic traffic flow models on networks; PDE-constraied optimization

Serge NICAISE

France
Polytechnic University of Hautsde-France


France

Virginie Régnier

France
Polytechnic University of Hauts-de-France
Campus Mont Houy Valenciennes Cedex 9 59313 Valenciennes
Valenciennes
France

Balint FARKAS

Germany
University of Wuppertal
Gaussstrasse 20
Wuppertal
Germany

Ioannis KIOUTSIOUKIS

Greece
University of Patras
University campus, Physics Department
Patras
Greece

Harun ŠILJAK

Ireland
Trinity College Dublin
Dunlop Oriel House
Dublin
Ireland

Amir LESHEM

Israel
Bar-Ilan University

Ramat-Gan
Israel

Giulia ROTUNDO

Italy
University of Rome
via del Castro Laurenziano 9
Rome
Italy

Agnieszka NIEMCZYNOWICZ

Poland
University of Warmia&Mazury

Olsztyn
Poland

Aleksandra PUCHALSKA

Poland
University of Warsaw
Krakowskie Przedmieście 26/28
Warsaw
Poland

Michał B. Paradowski

Poland
University of Warsaw
ul. Dobra 55
Warsaw
Poland

José Fernando F. Mendes

Portugal
University of Aveiro
Department of Physics, 3810-193 Aveiro
Aveiro
Portugal

Aleksey KOSTENKO

Slovenia
University of Ljubljana
Jadranska 19
Ljubljana
Slovenia

Marjeta KRAMAR FIJAVŽ

Slovenia
University of Ljubljana
Kongresni trg 12
Ljubljana
Slovenia
Research interests: functional analysis, operator semigroups, evolution equations, dynamical networks

David CAMACHO

Spain
Technical University of Madrid
Calle de Alan Turing, s/n
Madrid
Spain
Research areas: - Social Network Analysis: community detection, pattern discovery - Social Mining and Graph-based Algorithms. - Evolutionary Computation: Genetic Algorithms, Genetic Programming - Data Analysis and Data Mining: Clustering. - Swarm Intelligence: ACO. - Multi-agent Systems, Unmanned Systems, - Video Games. - Malware

Sergio GÓMEZ

Spain
Universitat Rovira i Virgili
Avda. Països Catalans 26
Tarragona
Spain

Gianluca RIZZO

Switzerland
University of Applied Sciences Western Switzerland
Technopole 3
Sierre
Switzerland

Sven GNUTZMANN

United Kingdom
University of Nottingham
University Park
Nottingham
United Kingdom
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