Dr. Janusz Ginster

Janusz Ginster
Address:
Weierstrass Institute for Applied Analysis and Stochastics
Anton-Wilhelm-Amo-Str. 39
10117 Berlin, Germany
Phone: +49 (030) 20372-415
Email: ginster(at)wias-berlin.de
ORCID: ORCID logo 0000-0002-7807-1349  

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

  • lecture course "Applications of Convex Integration in PDE" at Humboldt University of Berlin, summer term 2024 (moodle course)
  • lecture course "Principles of Continuum Mechanics" at Humboldt University of Berlin, winter term 2023/24 (moodle course)
  • student seminar "Applied Analysis: Gamma-Convergence and Applications" at Humboldt University of Berlin, summer term 2023 (moodle course)
  • lecture course "Functions of Bounded Variation" at Humboldt University of Berlin, summer term 2023 (moodle course)
  • lecture course "Nonlinear Functional Analysis and Weak Convergence" at Humboldt University of Berlin, winter term 2022/23 (moodle course)
  • lecture course "Nonlinear Functional Analysis and Weak Convergence" at Humboldt University of Berlin, winter term 2021/22 (moodle course)
  • lecture course "Nonlinear Functional Analysis and Weak Convergence" at Humboldt University of Berlin, winter term 2020/21 (moodle course)
  • lecture course "Functions of Bounded Variation" at Humboldt University of Berlin, summer term 2020 (moodle course)
  • lecture course "21-355 Principles of Real Analysis" at Carnegie Mellon University, spring term 2018
  • lecture course "21-355 Principles of Real Analysis" at Carnegie Mellon University, fall term 2017
  • lecture course "21-355 Principles of Real Analysis" at Carnegie Mellon University, spring term 2017
  • lecture course "21-241 Matrices and Linear Transformations" at Carnegie Mellon University, fall term 2016

➤ Publications and preprints

  1. J. Ginster .
    On the formation of microstructure and the occurrence of vortices in a singularly perturbed energy related to helimagnetism: A scaling law result.
    Preprint:   WIAS preprint 3227
  2. T. Fastovska, J. Ginster, B. Zwicknagl.
    Derivation of the Reissner-Mindlin model from nonlinear elasticity.
    Preprint:   arXiv:2406.08339 WIAS preprint 3216
  3. A. Acharya, J. Ginster .
    A convex variational principle for the necessary conditions of classical optimal control .
    Preprint:   WIAS preprint 3215
  4. A. Acharya, J. Ginster, A. Sengupta.
    Variational Dual Solutions of Chern-Simons Theory.
    Preprint:   arXiv:2411.17635
  5. J. Ginster, A. Pešić;, B. Zwicknagl.
    Nonlinear interpolation inequalities for fractional Sobolev norms and pattern formation in biomembranes.
    accepted for publication in Calc. Var. Partial Differential Equations WIAS preprint 3131 
  6. L. Abel, J. Ginster, B. Zwicknagl.
    A scaling law for a model of epitaxially strained elastic films with dislocations.
    Arch. Ration. Mech. Anal. 249(5), 2025. [Link] 
  7. J. Ginster, A. Rüland, A. Tribuzio, B. Zwicknagl .
    On the effect of geometry on scaling laws for a class of martensitic phase transformations.
    Ann. Inst. H. Poincaré C Anal. Non Linéaire , 2025. [Link] 
  8. 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
  9. J. Ginster, P. Gladbach.
    An anisotropic Poincaré inequality in GSBVp and the limit of strongly anisotropic Mumford-Shah functionals.
    accepted for publication in ESAIM Control Optim. Calc. Var. 2025. [Link] 
  10. A. Acharya, J. Ginster, S. Singh.
    A hidden convexity of nonlinear elasticity.
    J. Elast. , 2024. [Link] 
  11. J. Ginster.
    The formation of microstructures in singularly perturbed problems with 2, 3, or 4 preferred gradients.
    J. Nonlinear Sci. 34, 2024. [Link] 
  12. J. Ginster, G. Hayrapetyan, A. Pešić, B. Zwicknagl.
    A sharp interface limit for a nonlocal variational model for pattern formation.
    SIAM J. Math. Anal. 56, 2024. [Link] 
  13. J. Ginster, B. Zwicknagl .
    Energy scaling laws for microstructures: from helimagnets to martensites.
    Calc. Var. PDE 63, 2024. [Link] 
  14. J. Ginster, P. Gladbach .
    The Euler-Bernoulli limit of thin brittle linearized elastic beams.
    J. Elast. 156, 2023. [Link] 
  15. J. Ginster, B. Zwicknagl .
    Energy scaling law for a singularly perturbed four-gradient problem in helimagnetism.
    J. Nonlinear Sci. 33, 2023. [Link] 
  16. J. Ginster, A. Acharya .
    Rotations with constant curl are constant.
    Arch. Ration. Mech. Anal. 244, 2022. [Link] 
  17. 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] 
  18. J. Ginster, P. Gladbach .
    Many-particle limits in molecular solvation .
    Arch. Ration. Mech. Anal. 235, 2020. [Link] 
  19. J. Ginster .
    Strain-gradient plasticity as the Gamma-limit of a nonlinear dislocation model with mixed growth .
    SIAM J. Math. Anal. 51, 2019. [Link] 
  20. 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] 
  21. 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.
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.
June 2013 - August 2016 PhD-student at the University of Bonn under the supervision of Prof. Stefan Müller.
April 2011 - May 2013 M.Sc. student in Mathematics at the University of Bonn.
September 2010 - February 2011 Exchange student at Universite Pierre et Marie Curie, Paris (France).
October 2007 - September 2010 B.Sc. student in Mathematics at the University of Bonn.



Last modified: 2024-09-05 by Janusz Ginster