Webrelaunch 2020

M.Sc. Lukas Bengel

  • Englerstrasse 2
    76131 Karlsruhe
    Germany

I’m a doctoral researcher under the supervision of Prof. Wolfgang Reichel within the project B3 frequency combs of the CRC “Wave phenomena: analysis and numerics”.

Current List of Courses
Semester Titel Typ
Summer Semester 2024 Lecture
Summer Semester 2023 Lecture
Proseminar
Winter Semester 2022/23 Lecture
Lecture
Summer Semester 2022 Lecture

Research interests

  • Nonlinear partial differential equations
  • Existence and stability of nonlinear waves
  • Bifurcation theory
  • Numerical continuation and bifurcation
  • Nonlinear optics

Publications/Preprints

  • L. Bengel, W. Reichel, Analysis of Kerr frequency combs in microresonators with two-photon absorption and free-carriers, accepted (Springer Proceedings on Applications of Mathematical Methods). preprint
  • L. Bengel, Stability of solitary wave solutions in the Lugiato-Lefever equation, Z. Angew. Math. Phys. 75, 130 (2024). Article, preprint
  • L. Bengel, D. Pelinovsky, W. Reichel, Pinning in the extended Lugiato-Lefever equation, SIAM J. Math. Anal. 56 (2024), no. 3, 3679-3702. Article, preprint