Refereed Publications #
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R. Herzog, D. Strelnikov. An Optimal Control Problem for Single-Spot Pulsed Laser Welding, Journal of Mathematics in Industry, 13 (2023), article no. 4. arXiv:2109.10788v2, GitHub
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V. Derkach, D. Strelnikov, H. Winkler. On a class of integral systems, Complex Analysis and Operator Theory, 15 (2021), article no. 103.
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D. Strelnikov. Boundary triples for integral systems on the half-line, Methods of Functional Analysis and Topology, 25 (2019), no. 1, pp. 84-96.
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L. Pestov, D. Strelnikov. Approximate controllability of the wave equation with mixed boundary conditions, Journal of Mathematical Sciences, 239 (2019), no. 2, pp. 75-85.
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D. Strelnikov. Boundary triples for integral systems, Reports of the National Academy of Sciences of Ukraine, 7 (2018), pp. 3-9.
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D. Strelnikov. Boundary triples for integral systems on finite intervals, Journal of Mathematical Sciences, 231 (2018), no. 1, pp. 83-100.
Proceedings #
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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 AW-6082, Procedia CIRP, 111 (2022), pp. 490-495.
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L. Pestov, D. Strelnikov. Approximate boundary controllability of wave equation with mixed boundary conditions and sound-speed reconstruction, 2019 Days on Diffraction (DD), pp. 144-147.
Research projects #
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2019-2022 Simulation based optimization of the time-dependent pulse power for laser beam welding of aluminum alloys in order to avoid hot cracks. Technische Universität Chemnitz, Technische Universität Ilmenau.
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2018-2019 Properties of singular solutions of differential equations, spectral analysis of difference systems and modeling of nonlinear processes. Vasyl Stus’ Donetsk National University, Vinnytsya.
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2016-2019 Modeling, analysis, and approximation theory toward applications in tomography and inverse problems, Volkswagen Foundation, Lübeck/Braunschweig/Berlin.
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2016-2018 Mathematical Models for Bio-Medical Problems. Scientific and technical joint project of Ministry of Education, Ukraine and BMBF, Germany.
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2016-2019 Direct and inverse spectral problems for differential and difference operators. National Pedagogical Dragomanov University, Kyiv.
Selected talks #
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D. Strelnikov. Optimal control for crack-free pulsed laser beam welding of aluminium alloys. The 15th International Conference on Free Boundary Problems: Theory and Applications 2021 (FBP 2021), 13-17 September 2021, online.
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D. Strelnikov joint with R. Herzog. An optimal control problem for single-spot laser pulse welding. Joint Workshop of GAMM Activity Groups “Dynamics and Control Theory” and “Optimization with Partial Differential Equations”, 2-3 September 2021, University of Bayreuth.
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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, 3-7 February 2018, Braunschweig Technical University.
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D. Strelnikov. Spectral functions for Sturm-Liouville type integral systems on finite intervals. Workshop on Modeling, analysis, and approximation theory toward applications in tomography and inverse problems", 21-22 August 2018, Humbolt University of Berlin.
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D. Strelnikov. Sturm-Liouville integral systems. Siegmundsburg Workshop SS 2018, 24-25 September 2018, Technische Universität Ilmenau.
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D. Strelnikov. Boundary Triples for Integral Systems on a Half-line. International Conference in Functional Analysis dedicated to the 125th anniversary of Stefan Banach, 18-23 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.