Refereed Publications #

R. Herzog, D. Strelnikov. An Optimal Control Problem for SingleSpot Pulsed Laser Welding, Journal of Mathematics in Industry, 13 (2023), article no. 4. arXiv:2109.10788v2, GitHub, [↓]

V. Derkach, D. Strelnikov, H. Winkler. On a class of integral systems, Complex Analysis and Operator Theory, 15 (2021), article no. 103. [↓]

D. Strelnikov. Boundary triples for integral systems on the halfline, Methods of Functional Analysis and Topology, 25 (2019), no. 1, pp. 8496. [↓]

L. Pestov, D. Strelnikov. Approximate controllability of the wave equation with mixed boundary conditions, Journal of Mathematical Sciences, 239 (2019), no. 2, pp. 7585.

D. Strelnikov. Boundary triples for integral systems, Reports of the National Academy of Sciences of Ukraine, 7 (2018), pp. 39.

D. Strelnikov. Boundary triples for integral systems on finite intervals, Journal of Mathematical Sciences, 231 (2018), no. 1, pp. 83100. [↓]
Proceedings #

M. Seibold, D. Strelnikov, K. Schricker, R. Herzog, J. P. Bergmann. Influence of solidification rate on hot crack behavior in heat conduction laser beam welding of EN AW6082, Procedia CIRP, 111 (2022), pp. 490495.

L. Pestov, D. Strelnikov. Approximate boundary controllability of wave equation with mixed boundary conditions and soundspeed reconstruction, 2019 Days on Diffraction (DD), pp. 144147.
Research projects #

20192022 Simulation based optimization of the timedependent pulse power for laser beam welding of aluminum alloys in order to avoid hot cracks. Technische Universität Chemnitz, Technische Universität Ilmenau.

20182019 Properties of singular solutions of differential equations, spectral analysis of difference systems and modeling of nonlinear processes. Vasyl Stus’ Donetsk National University, Vinnytsya.

20162019 Modeling, analysis, and approximation theory toward applications in tomography and inverse problems, Volkswagen Foundation, Lübeck/Braunschweig/Berlin.

20162018 Mathematical Models for BioMedical Problems. Scientific and technical joint project of Ministry of Education, Ukraine and BMBF, Germany.

20162019 Direct and inverse spectral problems for differential and difference operators. National Pedagogical Dragomanov University, Kyiv.
Selected talks #

D. Strelnikov. Optimal control for crackfree pulsed laser beam welding of aluminium alloys. The 15th International Conference on Free Boundary Problems: Theory and Applications 2021 (FBP 2021), 1317 September 2021, online.

D. Strelnikov joint with R. Herzog. An optimal control problem for singlespot laser pulse welding. Joint Workshop of GAMM Activity Groups “Dynamics and Control Theory” and “Optimization with Partial Differential Equations”, 23 September 2021, University of Bayreuth.

D. Strelnikov joint with V. Derkach and L. Pestov. Recovering the sound speed in a wave equation from partial data. Modeling, analysis, and approximation theory toward applications in tomography and inverse problems, 37 February 2018, Braunschweig Technical University.

D. Strelnikov. Spectral functions for SturmLiouville type integral systems on finite intervals. Workshop on Modeling, analysis, and approximation theory toward applications in tomography and inverse problems", 2122 August 2018, Humbolt University of Berlin.

D. Strelnikov. SturmLiouville integral systems. Siegmundsburg Workshop SS 2018, 2425 September 2018, Technische Universität Ilmenau.

D. Strelnikov. Boundary Triples for Integral Systems on a Halfline. International Conference in Functional Analysis dedicated to the 125th anniversary of Stefan Banach, 1823 September 2017, Lviv, Ukraine.
Schools #
 VW summer school Modeling, Analysis, and Approximation Theory toward applications in tomography and inverse problems, 31 July  4 August 2017, Lübeck.