Nonlinear problems

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WG2 - Nonlinear problems

Overview

Often, linear models are first-order approximations in the descriptions of intricate phenomena. Their study is a mandatory first step whose results open the way to more accurate portraits of the problems being studied. On the other hand, general nonlinear equations typically generate a variety of behaviours that can hardly be described and classified along the lines of their linear counterparts. In this context, numerical integrations, or experiments, play a crucial role. They are often the only tool available to have a first insight into the qualitative behaviour of the solutions to the various nonlinear models.

This project aims at a maximal exploitation of the known linear theories to obtain relevant information on specific nonlinear models. A prime example is offered by a class of predator-prey models that leads to mixed hyperbolic-parabolic systems consisting of equations that, when seen separated, are linear. In addition, various models based on differential equations will be considered. The physical settings will be diverse, comprising, for instance, biological or traffic models, as well as the more traditional fluid dynamics models, such as those based on Boltzmann equation.

Tasks

  1. Fully develop a semigroup approach for nonlinear DSNs in a general metric space setting (in collaboration with W1 And W4).
  2. Develop appropriate nonlinear perturbation results.
  3. Study stability questions for the nonlinear case.
  4. Nonlinear models of microscopic, macroscopic and kinetic nature.
  5. In collaboration with WG5 develop suitable numerical methods for applications.

Members

Leader

Milana PAVIĆ-ČOLIĆ Serbia

University of Novi Sad, Faculty of Sciences, Department of Mathematics and Informatics
Trg Dositeja Obradovića 4
Novi Sad
Serbia
No additional info
Vice Leader

Paola GOATIN France

Inria
2004, route des Lucioles - BP 93
Sophia Antipolis - Méditerranée
France
http://www-sop.inria.fr/members/Paola.Goatin/index.html
Hyperbolic systems of conservation laws; Finite volume numerical schemes; Macroscopic traffic flow models on networks; PDE-constraied optimization

Bérénice GREC France

Université de Paris

Paris
France
No additional info

Working Group Participants

Besiana ÇOBANI

Albania
University of Tirana
BULEVARDI ZOGU I PARE
Tirana
Albania

Esther S. Daus

Austria
Vienna University of Technology
Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria
Vienna
Austria

Ansgar Juengel

Austria
TU Wien
Wiedner Hautpstr. 8-10
1040 Wien
Austria

Alexandra Holzinger

Austria
TU Wien
Wiedner Hauptstraße 8-10, 1040 Wien
Vienna
Austria

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

Cumhur ERKUT

Denmark
Aalborg University
A.C. Meyers Vænge 15
Copenhagen SV
Denmark

Lassi PAUNONEN

Finland
Faculty of Information Technology and Communication Sciences, Tampere University
Korkeakoulunkatu 10 553
Tampere
Finland

Laurent BOUDIN

France
Sorbonne Université

Paris
France

Balint FARKAS

Germany
University of Wuppertal
Gaussstrasse 20
Wuppertal
Germany

Manuel TORRILHON

Germany
RWTH Aachen

Aachen
Germany

Edilbert Christhuraj

Germany
Applied and Computational Mathematics
Schinkelstraße 2
Aachen
Germany

Rinaldo M. COLOMBO

Italy
University of Brescia
Via Branze 38
Brescia
Italy

Felisia Angela Chiarello

Italy
Politecnico di Torino
Corso Duca degli Abruzzi 24 10129 Torino, Italy
Torino
Italy

Elena Rossi

Italy
Università degli Studi di Modena e Reggio Emilia, Dipartimento di Scienze e Metodi dell'Ingegneria - DISMI
Via Amendola 2 - Pad. Morselli, 42122 Reggio Emilia, ITALY
Reggio Emilia
Italy

Nils Henrik RISEBRO

Norway
Department of Mathematics University of Oslo
PO Box 1053
Oslo
Norway

Agnieszka NIEMCZYNOWICZ

Poland
University of Warmia&Mazury

Olsztyn
Poland

Ana Jacinta SOARES

Portugal
University of Minho, Braga
Campus de Gualtar
Braga
Portugal

Rodica IOAN

Romania
Spiru Haret University from Bucharest and Institute of Solid Mechanics, Romanian Academy
Fabricii 46G
Bucharest
Romania

Srboljub SIMIĆ

Serbia
Faculty of Sciences, University of Novi Sad
Trg Dositeja Obradovića 3
Novi Sad
Serbia

Dušanka PERIŠIĆ

Serbia
Faculty of Sciences, University of Novi Sad
Trg Dositeja Obradovića 4
Novi Sad
Serbia

Davor KUMOZEC

Serbia
University of Novi Sad, Faculty of Sciences, Department of Mathematics and Informatics


Serbia

Damir Madjarević

Serbia
Faculty of Technical Sciences
Trg Dositeja Obradovića 6
Novi Sad
Serbia

Vladimir Đorđić

Serbia
Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad
Trg Dosiiteja Obradovića 3, 21000 Novi Sad
Novi Sad
Serbia

Pavel KURASOV

Sweden
Institute of Mathematics, Stockholm University
Kräftriket hus 6
Stockholm
Sweden

Sven GNUTZMANN

United Kingdom
University of Nottingham
University Park
Nottingham
United Kingdom
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