PostDoc
Dr. Livia Betz
- seit 2022: PostDoc (Eigene Stelle DFG), Universität Würzburg
- 2020-2022: Elternzeit
- 2017-2020: PostDoc, Universität Duisburg-Essen
- 2014-2017: wissenschaftliche Mitarbeiterin, TU Dortmund
Forschungsinteressen
- Optimale Steuerung nichtglatter Probleme
- Schädigungsmodelle
Aktuelles DFG Forschungsprojekt
- Optimal Control of Viscous Fatigue Damage Models for Brittle Materials: Optimality Systems
Preise
- 2018: PostDoc-Preis der Fakultät für Mathematik, Universität Duisburg-Essen
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Livia Betz: Unique solvability of a rate independent damage model with fatigue, 2023,
https://arxiv.org/abs/2306.09081
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Harbir Antil, Livia Betz, Daniel Wachsmuth: Strong stationarity for optimal control problems with non-smooth integral equation constraints: Application to continuous DNNs, accepted for publication in Applied Mathematics and Optimization, 2023
https://arxiv.org/abs/2302.05318 -
Livia Betz: Optimal control of a viscous two-field gradient damage model with fatigue, Journal of Nonsmooth Analysis and Optimization, 4, doi: 10.46298/jnsao-2023-10834, 2023
https://jnsao.episciences.org/11721/pdf -
Livia Betz: Strong stationarity for the control of viscous history-dependent evolutionary VIs arising in applications, Ann. Acad. Rom. Sci., Ser. Math. Appl., Special Issue Dedicated to Prof. Dan Tiba on his 70th anniversary, 15(1-2), 2023
https://arxiv.org/abs/2302.14385 -
Livia Betz: Strong stationarity for a highly nonsmooth optimization problem with control constraints, Mathematical Control and Related Fields, 13(4):1500--1528, 2023
https://www.aimsciences.org/article/doi/10.3934/mcrf.2022047 -
Livia Betz: Vanishing viscosity solutions to a rate-independent two-field gradient damage model, ZAMM, 101(11), 2021
https://doi.org/10.1002/zamm.201900226 - Livia Betz and Irwin Yousept: Optimal control of elliptic variational inequalities with bounded and unbounded operators, Mathematical Control & Related Fields, 11(3): 479-498, 2021
https://www.uni-due.de/imperia/md/content/mathematik/agyousept/mcrf_betzyousept2021.pdf
- Livia Betz: Strong stationarity for optimal control of a non-smooth coupled system: Application to a viscous evolutionary VI coupled with an elliptic PDE, SIAM Journal on Optimization, 29(4):3069-3099, 2019
https://epubs.siam.org/doi/abs/10.1137/18M1216778
- Livia Betz: Second-order sufficient optimality conditions for optimal control of non-smooth, semilinear parabolic equations, SIAM Journal on Control and Optimization, 57(6):4033-4062, 2019
https://epubs.siam.org/doi/pdf/10.1137/19M1239106
- Christian Meyer and Livia Susu: Analysis of a viscous two-field gradient damage model. Part II: Penalization limit, Zeitschrift für Analysis und Ihre Anwendungen, 38(4):439-474, 2019
https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=38&iss=4&rank=4
- Christian Meyer and Livia Susu: Analysis of a viscous two-field gradient damage model. Part I: Existence and uniqueness, Zeitschrift für Analysis und Ihre Anwendungen, 38(3):249-286, 2019
https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=38&iss=3&rank=1
- Livia Susu: Optimal control of a viscous two-field gradient damage model, GAMM-Mitteilungen, 40(4):287-311, 2018
https://onlinelibrary.wiley.com/doi/abs/10.1002/gamm.201740003
- Christian Meyer and Livia Susu: Optimal control of nonsmooth, semilinear parabolic equations, SIAM Journal on Control and Optimization, 55(4):2206-2234, 2017
https://epubs.siam.org/doi/abs/10.1137/15M1040426
Andere Beiträge
- Livia Betz, Malte Winckler and Irwin Yousept: Supraleiter und Mathematik, UNIKATE 53, 110-119, 2019
- Livia Betz and Irwin Yousept: On an optimal control problem for a class of elliptic VIs of the second kind involving unbounded operators, PAMM, 18(1):e201800280, 2018
- Livia Susu: Analysis and optimal control of a damage model with penalty, Dissertation, TU Dortmund, 2017
- Livia Susu: Die Richtungsableitung bei Statischer Plastizität und deren Konvergenzeigenschaften, Master Thesis, TU Dortmund, 2014
