Variational methods on graphs and networks

Join this Workgroup

WG4 - Variational methods on graphs and networks

Overview

Proceeding from classical variational methods for the analysis of Laplace-type operators, the aim of this Working Group is twofold: on the one hand, classic spectral geometry applies to elliptic operators generating semigroups that are Markovian (i.e., they describe the time evolution of expectation with respect to a Markov process); the plan is to investigate possible generalizations to generators of semigroups that have such a probabilistic interpretation only after a suitable transient; nonlinear contexts will also be studied. On the other hand, insights that have recently allowed the extension of gradient systems with respect to Wasserstein metric in spaces of measures will be extended to nonlinear dynamical systems on further discrete structures. A particular challenge is that the implementation of boundary conditions, which is a central issue in the theory of networks, is not yet well understood in the context of flows on metric spaces.

Tasks

  1. Develop variational methods for nonlinear dynamical systems on graphs (in collaboration with W3).
  2. Prove suitable isoperimetric inequalities for contexts that lack maximum principles.
  3. Exploit spectral geometric information to settle questions related to the long-time behaviour of the dynamical system on graphs.
  4. In collaboration with WG5 develop appropriate numerical methods for applications.

Members

Leader

Delio MUGNOLO Germany

University of Hagen
Universitätstraße 11
Hagen
Germany
No additional info
Vice Leader

Pavel KURASOV Sweden

Institute of Mathematics, Stockholm University
Kräftriket hus 6
Stockholm
Sweden
No additional info

Working Group Participants

Jan MAAS

Austria


Austria
Austria

Noema NICOLUSSI

Austria

Petr SIEGL

Austria
Institute of Applied Mathematics
TU Graz
Graz
Austria

Mastaliyev Rashad Ogtay

Azerbaijan
Institute of Control Systems of Azerbaijan National Academy Sciense
Baku, Azerbaijan,st. B.Vakhabzadeh 68
Baku
Azerbaijan

Ivica Nakić

Croatia
Uni Zagreb
Work Address
Zagreb
Croatia

Tereza KURIMAIOVÁ

Czech Republic


Prague
Czech Republic

Michal TICHÝ

Czech Republic


Prague
Czech Republic

Matěj TUŠEK

Czech Republic


Prague
Czech Republic

David KREJCIRIK

Czech Republic
Czech Technical University in Prague
Trojanova 13
Prague
Czech Republic

Felix Ali MEHMETI

France


Valenciennes
France

Catherine Drysdale

France
ONERA The French Aerospace Lab
8 Rue des Vertugadins, 92190 Meudon
Paris
France

Matthias ERBAR

Germany


Bielefeld
Germany

Amru HUSSEIN

Germany


Kaiserslautern
Germany

Joachim KERNER

Germany

Marvin PLÜMER

Germany

Olaf POST

Germany


Trier
Germany

Christian SEIFERT

Germany
Technische Universität Hamburg
Am Schwarzenberg-Campus 3, 21073, Hamburg
Hamburg
Germany

Helena Mihaljević

Germany
Hochschule für Technik und Wirtschaft Berlin
Wilhelminenhofstraße 75A
12459 Berlin
Germany

Delio MUGNOLO

Germany
University of Hagen
Universitätstraße 11
Hagen
Germany

Ivan Veselic

Germany
TU Dortmund
TU Dortmund, Fakultät für Mathematik, Lehrstuhl IX, Vogelpothsweg 87, 44227 Dortmund, Germany
Dortmund
Germany

Jan Meichsner

Germany
Technische Universität Hamburg
Technische Universität Hamburg, Institut für Mathematik (E-10), Am Schwarzenberg-Campus 3, Gebäude E, 21073 Hamburg
Hamburg
Germany

Mahyar Mahinzaeim

Germany
Research Center for Complex Systems, Aalen University
Beethovenstr. 1
73430 Aalen
Germany

Mahmood Ettehad

Germany
University of Minnesota
Institude for Mathematics and its Application (IMA)
Minneapolis
Germany

Harun Siljak

Ireland
Trinity College Dublin, CONNECT Centre
34 Westland Row, Dunlop Oriel House
Dublin
Ireland

Sebastian Egger

Israel
Technion
622 Amado Building
Haifa
Israel

Ram BAND

Israel
Technion - Israel Institute of Technology
Technion - Amado (Math) building
Haifa
Israel

Gilad Sofer

Israel
Technion
Technion
Haifa
Israel

Philippe Charron

Israel
Technion
Technion City - Haifa
Haifa
Israel

Yosi KELLER

Israel
Bar Ilan
Bar Ilan University
Ramat Gan
Israel

Claudio CACCIAPUOTI

Italy


Insubria-Como
Italy

Raffaele CARLONE

Italy

Giuseppe COCLITE

Italy

Simone Dovetta

Italy

Maria Rosaria LANCIA

Italy

Diego NOJA

Italy


Milano-Bicocca
Italy

Andrea POSILICANO

Italy


Insubria-Como
Italy

Biagio Cassano

Italy
Caserta
viale Lincoln 5
Caserta
Italy

MOHAMMED AHRAMI

Morocco
1
Faculté Pluridisciplinaire de Nador
NADOR
Morocco

James KENNEDY

Portugal
Faculdade de Ciencias da Universidade de Lisboa Campo Grande
Edificio C6
Lisboa
Portugal

Liviu IGNAT

Romania
Romanian Academy of Sciences


Romania

Cimpean Iulian

Romania
University of Bucharest and Romanian Academy
21 Calea Grivitei Street, 010702 Bucharest, Romania
Bucharest
Romania

Dragos Manea

Romania
"Simion Stoilow" Mathematical Institute of the Romanian Academy
21 Calea Grivitei Street, 010702
Bucharest
Romania

Aleksey KOSTENKO

Slovenia
University of Ljubljana
Jadranska 19
Ljubljana
Slovenia

Mojca Vilfan

Slovenia
UL FGG
Jamova 2
Ljubljana
Slovenia

Marjeta Kramar Fijavž

Slovenia
UL FGG
Jamova 2
Ljubljana
Slovenia

José M. MAZÓN

Spain
Universitat de Valencia
Dr. Moliner 50
Burjassot
Spain

Corentin LÉNA

Sweden


Stockholm
Sweden

Andrea SERIO

Sweden


Stockholm
Sweden

Jonathan ROHLEDER

Sweden
Stockholm University Matematiska institutionen

Stockholm
Sweden

Setenay Akduman

Turkey
Izmir Democracy University
Üçkuyular, Gürsel Aksel Blv No:14, 35140 Karabağlar/İzmir
Izmir
Turkey

Gökhan Mutlu

Turkey
Gazi University
Gazi University, Faculty of Science, Department of Mathematics, Yenimahalle, Ankara
Ankara
Turkey

Muharrem Tuncay Gençoğlu

Turkey
Fırat Üniversitesi
Teknik Bilimler -Matematik
Elazığ
Turkey

Vyacheslav Pivovarchik

Ukraine
South Ukrainian National Pedagogical University
26, Staroportofrankovskaya str., Odesa, Ukraine, 65020
Odesa
Ukraine

Sven GNUTZMANN

United Kingdom
University of Nottingham
University Park
Nottingham
United Kingdom

Jens BOLTE

United Kingdom
Department of Mathematics, Royal Holloway, University of London
TW20 0EX
Egham
United Kingdom

Matthias Täufer

United Kingdom
Queen Mary University of London
Mile End Road E1 4NS
London
United Kingdom
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