Partial and Ordinary Differential Equations and Optimization
- Fokker-Planck and Liouville Equation
- First & Second Order Optimality Conditions
- Bilinear and Ensemble Optimal Control Problems
Error Analysis and Accuracy Estimates
- Finite Element Method for PDE and ODE Problems
- Galerkin Approximation
- Numerical Analysis for PDE and ODE Constrained Optimal Control Problems
Further Interests
- Dynamics of Galaxies
- Vlasov-Poisson and Einstein-Vlasov System
- Numerical Simulations by a Particle-In-Cell method
- J. Körner and A. Borzì
Accuracy Estimates for Bilinear Optimal Control Problems Governed by Ordinary Differential Equations
Numerical Functional Analysis and Optimization,
DOI: 10.1080/01630563.2023.2192776
PDF - J. Körner and A. Borzì
Second–order analysis of Fokker–Planck ensemble optimal control problems
ESAIM: COCV, Forthcoming article,
DOI: 10.1051/cocv/2022066
PDF (462.8 KB) - J. Körner and G. Rein
Strong Lagrangian Solutions of the (Relativistic) Vlasov--Poisson System for NonSmooth, Spherically Symmetric Data
SIAM Journal on Mathematical Analysis Volume 53, Issue 4
DOI: 10.1137/20M1378910 - J. Körner, S. Günther, T. Lebeda, B. Pötzl, G. Rein and C. Straub
A numerical stability analysis for the Einstein-Vlasov system
Classical and Quantum Gravity, Volume 38, Number 3
DOI: 10.1088/1361-6382/abcbdf - Master Thesis, June 2020, University of Bayreuth
The spherically symmetric Vlasov-Poisson system
PDF
