Nicolai Jork

I am a postdoctoral researcher in the Analysis Group, Department of Mathematics, University of Tübingen.

My research lies in mathematical analysis, with particular interests in optimal control, partial differential equations, and geometric measure theory.

Research

  • Optimal Control and Optimization
  • Partial Differential Equations
  • Geometric Measure Theory

Publications

  1. A. Domínguez Corella, N. Jork, V. Veliov. “Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations.” ESAIM: Control, Optimisation and Calculus of Variations, 2022.
  2. A. Domínguez Corella, N. Jork, V. M. Veliov. “On the solution stability of parabolic optimal control problems.” Computational Optimization and Applications, 2023.
  3. A. Domínguez Corella, N. Jork, V. M. Veliov. “Solution stability of parabolic optimal control problems with fixed state-distribution of the controls.” Serdica Mathematical Journal, 2023.
  4. E. Casas, A. Domínguez Corella, N. Jork. “New assumptions for stability analysis in elliptic optimal control problems.” SIAM Journal on Control and Optimization, 2023.
  5. N. Jork. “Finite element error analysis of affine optimal control problems.” ESAIM: Control, Optimisation and Calculus of Variations, 2024.
  6. A. Domínguez Corella, N. Jork, Š. Nečasová, J. S. H. Simon. “Stability analysis of the Navier-Stokes velocity tracking problem with bang-bang controls.” Journal of Optimization Theory and Applications, 2024.
  7. N. Jork, N. P. Osmolovskii, V. M. Veliov. “Strong metric (sub)regularity in optimal control.” Journal of Convex Analysis, 2025.
  8. N. Jork, J. S. Simon. “Analysis of Unregularized Optimal Control Problems Constrained by the Two-Dimensional Boussinesq System.” SIAM Journal on Mathematical Analysis 57(4), 3910–3952, 2025.
  9. A. Domínguez Corella, N. Jork, S. Volkwein. “Differentiability of the value function in control-constrained parabolic problems.” SIAM Journal on Control and Optimization 64(5), 3470-3491, 2026.

Preprints

  1. F. Fuica, N. Jork. “Adaptive finite element method for an unregularized semilinear optimal control problem.” arXiv, 2025.
  2. E. Casas, N. Jork. “Second-Order Conditions for Semilinear Infinite-Horizon Control-Constrained Parabolic Problems without Regularization.” arXiv, 2026.
  3. F. Fuica, N. Jork. “Error estimates for an unregularized optimal control problem for the stationary Navier-Stokes equations ” arXiv, 2026.
  4. F. Fuica, N. Jork. “On quantitative sufficient second-order optimality conditions for elliptic optimal control problems ” arXiv, 2026.
  5. D. Andreakis, N.Jork, F. Rindler “Optimality conditions in shape optimization for light structures ” soon on arXiv, 2026.

Thesis

Full list on Google Scholar.

Funding and Awards

Research Stays

  • University of Cantabria, Spain, Prof. Eduardo Casas, 2026.
  • University of Warwick, UK, Prof. Filip Rindler, 2025.
  • TU Wien, Austria, Prof. Elisa Davoli, 2025.
  • University of Konstanz, Germany, Prof. Stefan Volkwein, 2023 and 2025.
  • University of Cantabria, Spain, Prof. Eduardo Casas, 2022.

Selected Talks

  • DMV Annual Meeting, Konstanz, 2026.
  • Calculus of Variations Seminar, University of Vienna, 2025.
  • Yearly Meeting of the Austrian Society of Operations Research, Vienna, 2024.
  • FGS Conference on Optimization, Gijón, 2024.
  • Invited Talk, Chair for Numerical Optimization, University of Konstanz, 2023.

Teaching

Contact

Nicolai Jork
Arbeitsbereich Analysis
Fachbereich Mathematik
Eberhard-Karls-Universität Tübingen

Auf der Morgenstelle 10
D-72076 Tübingen
Room 5 A 32

Phone: +49-7071-29-76886
Email: nicolai.jork at uni-tuebingen.de