Research Group Nonlinear
Partial Differential Equations
Our research group conducts research in the field of nonlinear partial differential equations.
The scientists of the group are involved in projects of the Collaborative Research Center 1173 "Wave Phenomena - Analysis and Numerics" at KIT: A6, A14, AP 9, AP 8, B3. For more information see here.
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.
Winter semester 2025 will be announced soon.
Summer semester 2025, Abstracts
Winter semester 2024, Abstracts
For information on previous events, please contact the research group.Wintersemester 2025/2026
Unser Seminar findet jeden Mittwoch um 11:30 im Raum SR 3.069 statt.
In diesem Semester wird das Seminar hauptsächlich persönlich stattfinden. Es besteht auch die Möglichkeit das Seminar, auf Anfrage der Gruppenmitglieder die nicht persönlich teilnehmen können, in hybrider Form zu organisieren.
29.10.25
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05.11.25 - Christopher Maulen (PostDoc @ Bielefeld University)
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12.11.25 -
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19.11.25 - Louis Garénaux (Former PostDoc @ KIT)
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26.11.25 - Julia Henninger (Doctoral Researcher @ KIT)
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03.12.25 - Emile Bukieda (Doctoral Researcher @ KIT)
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10.12.25 - Nils Thorin (Doctoral Researcher @ University of Stuttgart)
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17.12.25 - Giulia Mescolini (Doctoral Assistant @ EPFL)
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07.01.26 - Jordan Berthoumieu (PostDoc @ Strasbourg University)
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14.01.26 - Lukas Bengel (Doctoral Researcher @ KIT)
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21.01.26 - Sebastian Ohrem (Doctoral Researcher @ KIT)
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28.01.26 - Björn Gebhard (PostDoc @ University of Münster)
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04.02.26 - Robert Wegner (Doctoral Researcher @ KIT)
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11.02.25 - Rebekka Zimmermann (Doctoral Researcher @ KIT)
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18.02.2025 - Joannis Alexopoulos (Doctoral Researcher @ KIT)
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Themen
- 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)
SFB-Projekte
- 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)
Wir bieten verschiedene Vorlesungen und Seminare im Analysiszyklus der Bachelor- und Masterstudiengänge an sowie Themen für Bachelor- und Masterarbeiten.
Das aktuelle Kursangebot finden Sie hier.
Ass. Prof. Quilian Wu, Ohio University, USA
Prof. Pietro d'Avenia, Politecnico di Bari, Italia
Prof. Alessio Pomponio, Politecnico di Bari, Italia
Prof. Thomas Bartsch, University of Giessen
Dr. Clara Patriarca, Université Libre de Bruxelles, Belgium
Ass. Prof. Christopher Chong, Bowdoin College, Brunswick, USA
Prof. Herbert Koch, University of Bonn