Nonlinear problems

Join this Workgroup

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

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

Elisabeta Peti

Albania
Department of Mathematics, Faculty of Natural Sciences, University of Tirana
Blv. 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

Andrea Bondesan

Austria
Karl-Franzens-Universität Graz
Heinrichstrasse 36, 8010
Graz
Austria

Bao Quoc Tang

Austria
University of Graz
Heinrichstrasse 36, 8010 Graz
Graz
Austria

Annamaria Massimini

Austria
TU Wien, Insitute of Analysis and Scientific Computing
Wiedner Hauptstraße 8-10, 1040 Wien, Austria
Wien
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

Thierry Magin

Belgium
von Karman Institute for Fluid Dynamics
Chaussee de Waterloo 72
Rhode-Saint-Genese
Belgium

Mario Bukal

Croatia
University of Zagreb Faculty of Electrical Engineering and Computing
Unska 3
Zagreb
Croatia

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
My main research interests include control of distributed parameter systems and PDEs and stability theory of strongly continuous semigroups. I am in particular interested in “polynomial stability” and “non-uniform stability” which are frequently encountered in the study of multidimensional damped wave equations and in coupled PDE models. In addition, part of my research focuses on applications of control theoretic methods in computational neuroscience.

Laurent BOUDIN

France
Sorbonne Université

Paris
France

Desvillettes

France
Université de Paris
5 rue Thomas Mann
Paris
France

Marc Briant

France
MAP5, Université de Paris (France)
45, rue des Saints Pères
PARIS CEDEX 06
France

Thomas Borsoni

France
Jussieu (Sorbonne Université)
4 Place Jussieu
Paris
France

Marwa Shahine

France
Université de Bordeaux
351, cours de la Libération
Talence
France

Igbida Noureddine

France
Université de Limoges
Avenue Albert Thomas
Limoges
France

CHARLES Frédérique

France
Sorbonne Université
4 place Jussieu
paris
France

Delio MUGNOLO

Germany
University of Hagen
Universitätstraße 11
Hagen
Germany

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

Georgii Oblapenko

Germany
German Aerospace Center (DLR)
Bunsenstrasse 10, 37073
Goettingen
Germany

Gloria Paoli

Germany
Friedrich-Alexander-Universität Erlangen Nürnberg
Cauerstrasse 11, 91058 Erlangen
Erlangen
Germany

Yosi KELLER

Israel
Bar Ilan
Bar Ilan University
Ramat Gan
Israel

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

Giuseppe Orlando

Italy
Università degli Studi di Bari “Aldo Moro”
Department of Economics and Finance Via C. Rosalba 53 VI Floor, Room 12 Bari, 70124
Bari
Italy

Marzia Bisi

Italy
University of Parma
Parco Area delle Scienze 53-A, I-43124 Parma
Parma
Italy

Maria Groppi

Italy
University of Parma
Department of mathematical, physical and computer Sciences, Parco Area delle Scienze 53/A
43124 Parma
Italy

Francesco Salvarani

Italy
University of Pavia
via Ferrata, 5
Pavia
Italy

Romina Travaglini

Italy
Università degli Studi di Parma, Dipartimento di Scienze Matematiche, Fisiche e Informatiche
Parco Area delle Scienze, 53/A, 43124 Parma PR
Parma
Italy

Bertrand Lods

Italy
Turin University
Corso Unione Sovietica, 218/bis,
TORINO
Italy

Samir Boujijane

Morocco
Faculty of sciences Semlalia
LMDP, Faculty of Sciences Semlalia
Marrakesh
Morocco

Elena Karamazova Gelova

North Macedonia
University Goce Delchev Shtip
Krste Misirkov 10-A Shtip
Shtip
North Macedonia

Nils Henrik RISEBRO

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

Aleksandra PUCHALSKA

Poland
University of Warsaw
Krakowskie Przedmieście 26/28
Warsaw
Poland

Agnieszka NIEMCZYNOWICZ

Poland
University of Warmia&Mazury

Olsztyn
Poland

Ana Jacinta SOARES

Portugal
University of Minho, Braga
Campus de Gualtar
Braga
Portugal

Benjamin Anwasia

Portugal
University of Minho
Campus de Gualtar
Braga
Portugal

João Miguel da Silva Oliveira

Portugal
Universidade do Minho
Departamento de Matemática, Campus de Azurém - 4800-058 Guimarães
Guimarães
Portugal

Sofia Castro

Portugal
University of Porto
Faculdade de Economia do Porto; Rua Dr. Roberto Frias; 4200-464 Porto; Portugal
Porto, Portugal
Portugal

Rodica IOAN

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

Ligia Munteanu

Romania
Institute of Solid Mechanics, Romanian Academy
Ctin Mille 15, Bucharest
Bucharest
Romania

Dušanka PERIŠIĆ

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

Srboljub SIMIĆ

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

Jasmina Đorđević

Serbia
University of Oslo
Niels Henrik Abels hus Moltke Moes vei 35, 0851 OSLO Norway
Oslo
Serbia

Isidora Rapajić

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

Faustino Prieto

Spain
University of Cantabria
Department of Economics. Avda. de los Castros s/n. 39008, Santander, Cantabria, Spain.
Santander
Spain

Pavel KURASOV

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

Niclas Bernhoff

Sweden
Karlstad University
Universitetsgatan 2, 65188
Karlstad
Sweden

Haci Mehmet Guzey

Turkey
Erzurum Technical University
ETÜ Mühendislik Fakültesi
ERZURUM
Turkey

Sinan Hanay

Turkey
Erzurum Technical University
Erzurum Teknik Universitesi Lojmanlari, 4. Blok No: 3 Omer Nasuhi Bilmen Mah.
Erzurum
Turkey

Y. Sinan Hanay

Turkey
Erzurum Technical University
Erzurum Teknik University, Yakutiye, Erzurum, Turkey
Erzurum
Turkey

Muharrem Tuncay GENÇOĞLU

Turkey
Fırat University
Technical Science School
Elazığ
Turkey

Esma Ulutaş

Turkey
Karadeniz Technical University
Karadeniz Technical University, Technology Faculty, Department of Electronics and Communication Engineering
Trabzon
Turkey

Sven GNUTZMANN

United Kingdom
University of Nottingham
University Park
Nottingham
United Kingdom
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