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Dr. Georg Heinze

Georg Heinze
Address:
Weierstrass Institute for Applied Analysis and Stochastics
Anton-Wilhelm-Amo-Straße 39
10117 Berlin, Germany
Phone: +49(0) 30 20372 474
Email: georg.heinze(at)wias-berlin.de
ORCID: ORCID logo 0000-0002-4576-4683  
Google Scholar: Georg Heinze  

I am a member of the Weierstrass Group Multi-species Balance Laws at the Weierstrass Institute of Applied Analysis and Stochastics.
Furthermore, I am a member of the GAMM Juniors and the GAMM Activity Group of Analysis of PDEs and Calculus of Variations.

Scientific interests

My research focuses on the mathematical analysis of evolution equations from a partial differential equations and calculus of variations point of view. I am particularly interested in (generalized) gradient flows and their corresponding gradient systems as well as the convergence of gradient systems. These tools can be used to identify and separate scales in multi-scale problems or to derive macroscopic models from microscopic descriptions in a rigorous way.
During my PhD I studied discrete and continuum graph problems related to a system of aggregation PDEs for multiple interacting species and concave mobilities as well as their convergence to the local model.
More recently, I have been working on discrete approximations for reaction-diffusion systems, problems with bulk-interface coupling, and fibered Wasserstein gradient flows of Cahn-Hilliard-type energies.


Publications

Peer-reviewed articles

  1. A. Esposito, G. Heinze, A. Schlichting.
    Graph-to-local limit for the nonlocal interaction equation.
    Journal de Mathématiques Pures et Appliquées 2025. [Link]  [arXiv] 
  2. G. Heinze, J.-F. Pietschmann, M. Schmidtchen.
    Nonlocal cross-interaction systems on graphs: Energy landscape and dynamics.
    Kinetic and Related Models 2023. [Link]  [arXiv] 
  3. G. Heinze, J.-F. Pietschmann, M. Schmidtchen.
    Nonlocal cross-interaction systems on graphs: Nonquadratic Finslerian structure and nonlinear mobilities.
    SIAM Journal on Mathematical Analysis 2023. [Link]  [arXiv] 

Preprints

  1. G. Heinze, K. Hopf, M. Liero.
    Dissipative solutions for fibred Wasserstein gradient flows of Cahn-Hilliard-type energies.
    Preprint 2026. [WIAS Preprint]  [arXiv] 
  2. G. Heinze, A. Mielke, A. Stephan.
    Discrete-to-continuum limit for nonlinear reaction-diffusion systems via EDP convergence for gradient systems.
    Preprint 2025. [WIAS Preprint]  [arXiv] 
  3. G. Heinze, J.-F. Pietschmann, A. Schlichting.
    Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits.
    Preprint 2024. [WIAS Preprint]  [arXiv] 

Conference proceedings

  1. A. Esposito, G. Heinze, J.-F. Pietschmann, A. Schlichting.
    Graph-to-local limit for a multi-species nonlocal cross-interaction system.
    Proceedings in Applied Mathematics and Mechanics 2024. [Link]  [arXiv] 

Dissertation thesis

  • G. Heinze.
    Graph-based nonlocal gradient systems and their local limits.
    PhD thesis 2024. [Link]
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