I am a postdoctoral researcher within the group Partial Differential Equations
at Weierstrass Institute of Applied Analysis and Stochastics.
Scientific interests
- Variational methods for (non-convex) minimization problems, e.g. Gamma-convergence, scaling laws,...
- Materials Science: elasticity, plasticity (in particular dislocations), fracture, micromagnetism, phase transitions...
- Geometric Rigidity
➤ Teaching
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lecture course "Applications of Convex Integration in PDE"
at Humboldt University of Berlin, summer term 2024
(moodle course)
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lecture course "Principles of Continuum Mechanics"
at Humboldt University of Berlin, winter term 2023/24
(moodle course)
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student seminar "Applied Analysis: Gamma-Convergence and Applications"
at Humboldt University of Berlin, summer term 2023
(moodle course)
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lecture course "Functions of Bounded Variation"
at Humboldt University of Berlin, summer term 2023
(moodle course)
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lecture course "Nonlinear Functional Analysis and Weak Convergence"
at Humboldt University of Berlin, winter term 2022/23
(moodle course)
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lecture course "Nonlinear Functional Analysis and Weak Convergence"
at Humboldt University of Berlin, winter term 2021/22
(moodle course)
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lecture course "Nonlinear Functional Analysis and Weak Convergence"
at Humboldt University of Berlin, winter term 2020/21
(moodle course)
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lecture course "Functions of Bounded Variation"
at Humboldt University of Berlin, summer term 2020
(moodle course)
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lecture course "21-355 Principles of Real Analysis"
at Carnegie Mellon University, spring term 2018
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lecture course "21-355 Principles of Real Analysis"
at Carnegie Mellon University, fall term 2017
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lecture course "21-355 Principles of Real Analysis"
at Carnegie Mellon University, spring term 2017
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lecture course "21-241 Matrices and Linear Transformations"
at Carnegie Mellon University, fall term 2016
➤ Publications and preprints
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J. Ginster, A. Pesic, B. Zwicknagl.
Nonlinear interpolation inequalities for fractional Sobolev norms and pattern formation in biomembranes.
Preprint.
arXiv:2409.16134.
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L. Abel, J. Ginster, B. Zwicknagl.
A scaling law for a model of epitaxially strained elastic films with dislocations.
Preprint.
arXiv:2403.13646.
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J. Ginster, A. Rueland, A. Tribuzio, B. Zwicknagl .
On the effect of geometry on scaling laws for a class of martensitic phase transformations.
Preprint.
arXiv:2405.05927.
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J. Ginster, M. Koser, B. Zwicknagl.
Microstructures in a two-dimensional frustrated spin system: Scaling regimes and a discrete-to-continuum limit.
Preprint.
arXiv:2406.08339.
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J. Ginster, P. Gladbach.
An anisotropic Poincaré inequality in GSBVp and the limit of strongly anisotropic Mumford-Shah functionals.
Preprint.
arXiv:2212.10199.
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A. Acharya, J. Ginster, S. Singh.
A hidden convexity of nonlinear elasticity.
J. Elast.
,
2024.
[Link]
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J. Ginster.
The formation of microstructures in singularly perturbed problems with 2, 3, or 4 preferred gradients.
J. Nonlinear Sci.
34,
2024.
[Link]
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J. Ginster, G. Hayrapetyan, A. Pesic, B. Zwicknagl.
A sharp interface limit for a nonlocal variational model for pattern formation.
SIAM J. Math. Anal.
56,
2024.
[Link]
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J. Ginster, B. Zwicknagl .
Energy scaling laws for microstructures: from helimagnets to martensites.
Calc. Var. PDE
63,
2024.
[Link]
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J. Ginster, P. Gladbach .
The Euler-Bernoulli limit of thin brittle linearized elastic beams.
J. Elast.
156,
2023.
[Link]
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J. Ginster, B. Zwicknagl .
Energy scaling law for a singularly perturbed four-gradient problem in helimagnetism.
J. Nonlinear Sci.
33,
2023.
[Link]
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J. Ginster, A. Acharya .
Rotations with constant curl are constant.
Arch. Ration. Mech. Anal.
244,
2022.
[Link]
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I. Fonseca, J. Ginster, S. Wojtowytsch .
On the motion of curved dislocations in three dimensions: Simplified linearized elasticity.
SIAM J. Math. Anal.
53,
2021.
[Link]
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J. Ginster, P. Gladbach .
Many-particle limits in molecular solvation .
Arch. Ration. Mech. Anal.
235,
2020.
[Link]
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J. Ginster .
Strain-gradient plasticity as the Gamma-limit of a nonlinear dislocation model with mixed growth .
SIAM J. Math. Anal.
51,
2019.
[Link]
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J. Ginster .
Plasticity as the Gamma-limit of a two-dimensional dislocation energy: The critical regime without the assumption of well-separateness .
Arch. Ration. Mech. Anal.
233,
2019.
[Link]
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S. Conti, J. Ginster, M. Rumpf .
A BV functional and its relaxation for joint motion estimation and image sequence recovery .
ESAIM:M2AN
49,
2015.
[Link]
➤ Short CV
Since September 2024 |
Member of the group Partial Differential Equations
at Weierstrass Institute of Applied Analysis and Stochastics |
October 2019 - August 2024 |
Postdoc in the group of Prof. Barbara Zwicknagl at Humboldt University of Berlin. |
January 2019 - September 2019 |
Postdoc in the group of Prof. Barbara Zwicknagl at Technical University Berlin. |
September 2018 - December 2018 |
Extended travelling in South America, Australia and New Zealand.
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September 2016 - August 2018 |
Postdoc at the Center of Nonlinear Analysis at Carnegie Mellon University, Pittsburgh (USA), under the supervision of Prof. Irene Fonseca and Prof. Giovanni Leoni.
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June 2013 - August 2016 |
PhD-student at the University of Bonn under the supervision of Prof. Stefan Müller.
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April 2011 - May 2013 |
M.Sc. student in Mathematics at the University of Bonn.
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September 2010 - February 2011 |
Exchange student at Universite Pierre et Marie Curie, Paris (France).
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October 2007 - September 2010 |
B.Sc. student in Mathematics at the University of Bonn.
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Last modified: 2024-09-27 by Janusz Ginster
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