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

Research interests

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

Publications/Preprints

• L. Bengel, B. de Rijk, Existence and stability of soliton-based frequency combs in the Lugiato-Lefever equation, Phys. D, 483 (2025). Article, preprint
• L. Bengel, B. de Rijk, Multiple front and pulse solutions in spatially periodic systems, (submitted). preprint
• 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