I am a participant of the Collaborative Research Center 1173 on wave phenomena, working on project A12 - "Dynamics of the Gross-Pitaevskii equation and related dispersive equations".
My interests lie in dispersive, completely integrable, and/or stochastic partial differentiable equations. You may download my master thesis here.
Check out my website.

Research

• R. Wegner
  Global-in-time well-posedness of the one-dimensional hydrodynamic Gross-Pitaevskii equations without vacuum.
  Z. Angew. Math. Phys. 74, 194 (2023).
  Journal article
• X. Liao and R. Wegner
  Global well-posedness of the NLS hierarchy with nonzero boundary condition.
  Preprint (2025).
  arXiv:2508.14572
• R. Wegner
  Long-wave KdV hierarchy approximation of the NLS hierarchy with nonzero boundary conditions.
  Preprint (2026).
  arXiv:2606.10687
• L.-E. Hientzsch, R. Scandone, and R. Wegner
  On the boundedness and continuity of ψ ↦ |ψ|⁻¹ ψ̄ ∇ψ.
  In preparation.