Our group conducts research in the field of Nonlinear Partial Differential Equations. The spokesperson of the group is Prof. Wolfgang Reichel. Lars Eric Hientzsch and Björn de Rijk head the junior research groups "Vortices and Nonlinear Waves" and "Stability of Nonlinear Waves".

The scientists of our research group are involved in various projects of the Collaborative Research Center 1173 "Wave Phenomena - Analysis and Numerics" at KIT.



Next talk: 6.5.2026
Catalina Jurja (PhD Student @ Univ. of Zürich)

The seminar features regular talks during the lecture period by internal speakers and external guests on recent research progress in the study of nonlinear partial differential equations.
For further information please contact Robert Wegner.
Former Seminars:
- Winter semester 2025, Abstracts
- Summer semester 2025, Abstracts
- Winter semester 2024, Abstracts
- Summer semester 2024, Abstracts
- Winter semester 2023, Abstracts
- Summer semester 2023, Abstracts
- Winter semester 2022, Abstracts
For information on previous events, please contact the research group.
Sommersemester 2026
Our seminar takes place every Wednesday at 11:30 in room SR 3.069.
This semester the seminar will mainly take place in person. There is also the possibility to organize the seminar in hybrid form on request of group members who cannot attend in person.
22.04.26 - no talk
29.04.26 - no talk
06.05.26 - Catalina Jurja (Doctoral Researcher @ Zürich University)
t.b.d.
13.05.26 - t.b.d.
20.05.26 - t.b.d.
03.06.26 - Tobias Schmid (PostDoc @ University of Vienna)
t.b.d.
10.06.26 - Finn Münnich (Doctoral Researcher @ Heidelberg University)
t.b.d.
17.06.26 - Johannes Bärlin (PostDoc @ Indiana University Bloomington)
t.b.d.
24.06.26 - t.b.d.
01.07.26 - t.b.d.
08.07.26 - t.b.d.
15.07.26 - Björn Gebhard (PostDoc @ Münster University)
t.b.d.
22.07.26 - Joris van Winden (PostDoc @ TU Delft)
t.b.d.
29.07.26 - two talks
11:30 - 12:15 - Christiane Gallos (Doctoral Researcher @ Indiana University Bloomington)
t.b.d.
12:15 - 13:00 - Dorothea Gallos (Doctoral Researcher @ Indiana University Bloomington)
t.b.d.
We offer various lectures and seminars in the analysis cycle of the Bachelor's and Master's degree programs as well as topics for Bachelor's and Master's theses.
Teaching
| Titel | Links | Dozent*innen | Typ |
|---|---|---|---|
| Sommersemester 2026 | |||
| Boundary and Eigenvalue Problems | Knopf | Vorlesung (V) | |
| Tutorial for Boundary and Eigenvalue Problems (0157500) | Knopf | Übung (Ü) | |
| Proseminar (Analysis) | Knopf | Proseminar (PS) | |
| Seminar (Complex quantum systems and vortex dynamics: from analysis to numerical simulation) | Hauck, Hientzsch | Seminar (S) | |
| AG Nichtlineare Partielle Differentialgleichungen | Reichel | Seminar (S) | |
| SFB-Seminar | Reichel, Hochbruck | Seminar (S) | |
| Höhere Mathematik II für die Fachrichtung Physik | Herzog | Vorlesung (V) | |
| Übungen zu 0180500 (Höhere Mathematik II für Physik) | Herzog, Babisch, Henninger, Babisch | Übung (Ü) | |
| Wintersemester 2025/26 | |||
| Classical Methods for Partial Differential Equations | Knopf | Vorlesung (V) | |
| Tutorial for 0105300 (Classical Methods for Partial Differential Equations) | Knopf | Übung (Ü) | |
| Ringvorlesung Wavephenomena | Schnaubelt, Griesmaier, Krumscheid, de Rijk, Halla, Senapati | Vorlesung (V) | |
| Variational Methods | Reichel | Vorlesung (V) | |
| Tutorial for 0105450 (Variational methods) | Reichel, Henninger | Übung (Ü) | |
| Evolution equations | de Rijk | Vorlesung (V) | |
| Tutorial for 0105900 (Evolution Equations) | de Rijk, Bengel | Übung (Ü) | |
| Spektraltheorie für Differentialoperatoren | Plum | Vorlesung (V) | |
| Übungen zu 0100062 (Spektraltheorie für Differentialoperatoren) | Plum, Ohrem | Übung (Ü) | |
| AG Nichtlineare Partielle Differentialgleichungen | Reichel, Liao | Oberseminar (OS) | |
| SFB-Seminar | Reichel, Hochbruck | Oberseminar (OS) | |
| Höhere Mathematik I für die Fachrichtung Physik | Herzog | Vorlesung (V) | |
| Übungen zu 0130200 (Höhere Mathematik I für Physik) | Herzog, Bukieda, Babisch | Übung (Ü) | |
| Sommersemester 2025 | |||
| Analysis für das Lehramt | Herzog | Vorlesung (V) | |
| Übungen zu 0157100 (Analysis für Lehramt) | Herzog, Mesfun | Übung (Ü) | |
| Rand- und Eigenwertprobleme | Reichel | Vorlesung (V) | |
| Übungen zu 0157500 (Rand- und Eigenwertprobleme) | Reichel | Übung (Ü) | |
| Diskrete dynamische Systeme | Herzog | Vorlesung (V) | |
| Proseminar (Analysis) | Herzog, Bukieda | Proseminar (PS) | |
| AG Nichtlineare Partielle Differentialgleichungen | Reichel, Liao | Seminar (S) | |
| SFB-Seminar | Reichel, Hochbruck | Seminar (S) | |
Subjects
- Special wave forms in nonlinear wave and Maxwell equations (Baldelli, Ohrem, Henninger, Reichel, Plum)
- Frequency combs in ring resonators (Bengel, Reichel, de Rijk)
- Mathematical analysis of (quantum) fluid flows (Carnovale, Hientzsch, Zimmermann)
- Topological dynamics and differential equations (Herzog)
- Computer-assisted proofs (Plum)
- Spectral problems (Bengel, Plum, Reichel, de Rijk)
- Pattern formation, stability of traveling waves, and modulation of periodic patterns (Alexopoulos, Bukieda, de Rijk)
- Nonlinear Schrödinger-type equations (Baldelli, Bengel, Bukieda, Hientzsch, Plum, Reichel, de Rijk, Wegner)
Involvement in CRC-Projects
- A5 Qualitative behavior of nonlinear Maxwell equations (Baldelli)
- A6 Localized solutions for nonlinear Maxwell and wave-type equations (Baldelli, Henninger, Ohrem, Reichel)
- A12 Dynamics of the Gross–Pitaevskii equation and related dispersive equations (Wegner)
- A14 Nonlinear stability of periodic waves in dissipative-dispersive systems (Bukieda, de Rijk)
- B3 Frequency combs (Bengel, Reichel, de Rijk)
- AP9 Quantized vortices and nonlinear waves (Carnovale, Hientzsch)
Winter Semester 2025/2026:
Dr. Felice Iandoli, Universitá della Calabria, Cosenza, Italy
Dr. Borbála Fazekas, University of Debrecen, Hungary
Prof. Paolo Antonelli, Gran Sasso Science Institut, L'Aquila, Italy
Dr. Paolo Malanchini, Universitá degli Studi Milano, Italy
Dr. Matthieu Cadiot, Ècole Polytechnique Paris, France
Prof. Xian Liao, Dalian University, China
Dr. Jordan Berthoumieu, University of Strasbourg, France
Giulia Mescolini, EPFL Lausanne, Switzerland
Nils Thorin, University of Stuttgart
Prof. Thierry Gallay, Université Grenoble Alpes, France
Dr. Antonio Hidalgo, Max Planck Institut Leipzig
Dr. Christopher Maulen, Universität Bielefeld
Summer Semester 2025:
Ass. Prof. Quilian Wu, Ohio University, USA
Prof. Pietro d'Avenia, Politecnico di Bari, Italia
Prof. Alessio Pomponio, Politecnico die Bari, Italia
Prof. Thomas Bartsch, Universität Gießen
Dr. Clara Patriarca, Université Libre de Bruxelles, Belgium
Ass. Prof. Christopher Chong, Bowdoin College, Brunswick, USA
Prof. Herbert Koch, Universität Bonn
Prof. Dr. Peter Volkmann
Sprechzeit nach Vereinbarung
Kollegiengebäude Mathematik (20.30), Sekretariat, 3.029
Phone: (49) (721) 608-42064
Adresse:
Prof. Dr. Peter Volkmann
Institut für Analysis
KIT
76128 Karlsruhe
Allemagne
Als Universitätsprofessor im Ruhestand seit April 2005.
E-Mail: ju-volkmann∂kabelmail.de
Privatadresse, private address, adresse privée, приватный адрес:
August-Becker-Weg 14
76829 Landau
Allemagne
Tel.(49)(6341)962804
Aktuelles Lehrangebot
Schriftenverzeichnis, list of publications, liste des publications, список публикаций
Series Mathematicae Catoviciensis et Debreceniensis http://www.math.us.edu.pl/smdk
Prof. Dr. Peter Volkmann
Office hours by appointment
Kollegiengebäude Mathematik (20.30), Sekretariat, 3.029
Phone: (49) (721) 608-42064
Adress:
Prof. Dr. Peter Volkmann
Institut für Analysis
KIT
76128 Karlsruhe
Allemagne
As Universitätsprofessor retired since April 2005.
E-Mail: ju-volkmann∂kabelmail.de
Privatadresse, private address, adresse privée, приватный адрес:
August-Becker-Weg 14
76829 Landau
Allemagne
Tel.(49)(6341)962804
Current List of Courses
Schriftenverzeichnis, list of publications, liste des publications, список публикаций
Series Mathematicae Catoviciensis et Debreceniensis http://www.math.us.edu.pl/smdk