Research

Publications/Preprints:

-Meyer, David "Long time confinement of multiple concentrated vortices" arXiv preprint arXiv 2506.01477 (2025). Submitted

-Enciso, Alberto, Antonio J. Fernández, and David Meyer. "Desingularization of vortex sheets for the 2D Euler equations." arXiv preprint arXiv:2505.18655 (2025). Submitted

-Meyer, David, Lukas Niebel, and Christian Seis. "Steady bubbles and drops in inviscid fluids." arXiv preprint arXiv:2503.05503 (2025). Accepted for publication in Calculus of Variations and Partial Differential Equations 

-Meyer, David, and Christian Seis. "Steady Ring-Shaped Vortex Sheets." arXiv preprint arXiv:2409.08220 (2024). Submitted

-de Nitti, Nicola, David Meyer, and Christian Seis. "Optimal Regularity for the 2D Euler Equations in the Yudovich class." Journal de Mathématiques Pures et Appliquées Volume 191 (2024) 103631.

-Meyer, David.“Total A-variation type flows for general integrands.” arXiv preprint arXiv:2310.15283 (2023). Submitted 

-Meyer, David. "Movement of solid filaments in axisymmetric fluid flow" Journal de l’École polytechnique—Mathématiques 12 351-419

Note: The preprint of this originally had the title "A model for the approximation of vortex rings by almost rigid bodies"

-Meyer, David, and Christian Seis. ”Propagation of regularity for transport equations. A Littlewood-Paley approach.” Indiana Univ. Math. J. 73 (2024), 445-473

Theses: 

Regularity and stability in vortex dynamics, PhD Thesis, Münster 2024