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: 28.1.26
Matthieu Cadiot (PostDoc @ École Polytechnique Paris)
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:
Summer semester 2025 Abstracts
Winter semester 2024, Abstracts
For information on previous events, please contact the research group.Wintersemester 2025/2026
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.
29.10.25 - no talk
05.11.25 - Christopher Maulen (PostDoc @ Bielefeld University)
"On the asymptotic stability problem for soliton solutions to the Boussinesq-type models" - Abstract
12.11.25 - Antonio Hidalgo (PostDoc @ MPI Leipzig)
"Dissipative Euler flows originating from circular vortex filaments" - Abstract
19.11.25 - Louis Garénaux (Former PostDoc @ KIT)
"Orbital stability for monostable fronts in reaction-diffusion equations" - Abstract
26.11.25 - Julia Henninger (Doctoral Researcher @ KIT)
"Rogue waves for a semilinear wave equation" - Abstract
03.12.25 - Emile Bukieda (Doctoral Researcher @ KIT)
"Orbital stability of cnoidal waves against localized perturbations" - Abstract
10.12.25 - Nils Thorin (Doctoral Researcher @ University of Stuttgart)
"Validity of the NLS approximation for the Peregrine soliton family" - Abstract
17.12.25 - Giulia Mescolini (Doctoral Assistant @ EPFL)
"Vanishing viscosity non-unique solutions to the forced 2D Euler equations" - Abstract
07.01.26 - Jordan Berthoumieu (PostDoc @ Strasbourg University)
"Stability of soliton for nonlinear non-integrable Schrödinger equations with non-trivial far field" - Abstract
14.01.26 - Lukas Bengel (Doctoral Researcher @ KIT)
"Bright and dark pulses in the Lugiato-Lefever equation with periodic forcing" - Abstract
21.01.26 - Sebastian Ohrem (Doctoral Researcher @ KIT)
"Spectral asymptotics of asymptotically periodic Sturm-Liouville operators" - Abstract
28.01.26 - Matthieu Cadiot (PostDoc @ École Polytechnique Paris)
t.b.d.
04.02.26 - Robert Wegner (Doctoral Researcher @ KIT)
t.b.d.
11.02.25 - Rebekka Zimmermann (Doctoral Researcher @ KIT)
t.b.d.
18.02.2025 - Joannis Alexopoulos (Doctoral Researcher @ KIT)
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 |
|---|---|---|---|
| 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) | |
| Wintersemester 2024/25 | |||
| Functional Analysis | Reichel | Vorlesung (V) | |
| Tutorial for 0104800 (Functional Analysis) | Reichel | Übung (Ü) | |
| Advanced Methods in Nonlinear PDEs | de Rijk | Vorlesung (V) | |
| Monotoniemethoden in der Analysis | Herzog | Vorlesung (V) | |
| Proseminar (Analysis) | Reichel | Proseminar (PS) | |
| Proseminar (Analysis) | Herzog, Tolksdorf | Proseminar (PS) | |
| AG Nichtlineare Partielle Differentialgleichungen | Reichel, Liao | Seminar (S) | |
| SFB-Seminar | Reichel, Hochbruck | Seminar (S) | |
| Höhere Mathematik III für die Fachrichtung Physik | Herzog | Vorlesung (V) | |
| Übungen zu 0130600 (Höhere Mathematik III für die Fachrichtung Physik) | Herzog | Übung (Ü) | |
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. 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