publications by categories in reversed chronological order.



  1. Fine properties of geodesics and geodesic lambda-convexity for the Hellinger–Kantorovich distance
    Matthias Liero, Alexander Mielke, and Giuseppe Savaré
    Weierstrass Institute Berlin Preprint, No. 2956 2022


  1. Homogenization of a porous intercalation electrode with phase separation
    Martin Heida, Manuel Landstorfer, and Matthias Liero
    Weierstrass Institute Berlin Preprint, No. 2905 2021

Journal Articles


  1. A coarse-grained electrothermal model for organic semiconductor devices
    Annegret Glitzky, Matthias Liero, and Grigor Nika
    Math. Methods Appl. Sci., 45, pp. 4809–4833, 2022
  2. Analysis of a hybrid model for the electro-thermal behavior of semiconductor heterostructures
    Annegret Glitzky, Matthias Liero, and Grigor Nika
    J. Math. Anal. Appl., 507(2), pp. 125815, 2022


  1. Dimension reduction of thermistor models for large-area organic light-emitting diodes
    Annegret Glitzky, Matthias Liero, and Grigor Nika
    Discr. Cont. Dynam. Systems Ser. S, 14(11), pp. 3953–3971, 2021
  2. An existence result for a class of electrothermal drift-diffusion models with Gauss–Fermi statistics for organic semiconductors
    Annegret Glitzky, Matthias Liero, and Grigor Nika
    Analysis and Applications, 19, pp. 275–304, 2021
  3. Effective diffusion in thin structures via generalized gradient systems and EDP-convergence
    Thomas Frenzel, and Matthias Liero
    Discr. Cont. Dynam. Systems Ser. S, 14(1), pp. 395–425, 2021
  4. Electrothermal Tristability Causes Sudden Burn-In Phenomena in Organic LEDs
    Anton Kirch, Axel Fischer, Matthias Liero, Jürgen Fuhrmann, Annegret Glitzky, and Sebastian Reineke
    Advanced Functional Materials, 31, pp. 2106716, 2021
  5. Analysis of a bulk-surface thermistor model for large-area organic LEDs
    Annegret Glitzky, Matthias Liero, and Grigor Nika
    Port. Math., 78(2), pp. 187–210, 2021


  1. Drift–diffusion simulation of S-shaped current–voltage relations for organic semiconductor devices
    Duy Hai Doan, Axel Fischer, Jürgen Fuhrmann, Annegret Glitzky, and Matthias Liero
    Journal of Computational Electronics, 19, pp. 1164–1174, Sep 2020
  2. Introducing pinMOS Memory: A Novel, Nonvolatile Organic Memory Device
    Yichu Zheng, Axel Fischer, Michael Sawatzki, Duy Hai Doan, Matthias Liero, Annegret Glitzky, Sebastian Reineke, and Stefan C. B. Mannsfeld
    Advanced Functional Materials, 30, pp. 1907119, Sep 2020
  3. Experimental proof of Joule heating-induced switched-back regions in OLEDs
    Anton Kirch, Axel Fischer, Matthias Liero, Jürgen Fuhrmann, Annegret Glitzky, and Sebastian Reineke
    Light: Science & Applications, 9, pp. 5, Sep 2020


  1. Instationary drift-diffusion problems with Gauss–Fermi statistics and field-dependent mobility for organic semiconductor devices
    Annegret Glitzky, and Matthias Liero
    Comm. Math. Sci., 17, pp. 33–59, Sep 2019
  2. The weighted energy-dissipation principle and evolutionary Γ-convergence for doubly nonlinear problems
    Matthias Liero, and Stefano Melchionna
    ESAIM Control Optim. Calc. Var., 25, pp. 36, Sep 2019
  3. Analysis of a drift-diffusion model for organic semiconductor devices
    Duy Hai Doan, Annegret Glitzky, and Matthias Liero
    Z. Angew. Math. Phys., 70, pp. 55, Sep 2019


  1. Balance of Horizontal and Vertical Charge Transport in Organic Field-Effect Transistors
    Franz Michael Sawatzki, Duy Hai Doan, Hans Kleemann, Matthias Liero, Annegret Glitzky, Thomas Koprucki, and Karl Leo
    Phys. Rev. Applied, 10(3), pp. 034069, Sep 2018
  2. Evolutionary Γ-convergence of gradient systems modeling slow and fast chemical reactions
    Karoline Disser, Matthias Liero, and Jonathan Zinsl
    Nonlinearity, 31, pp. 3689–3706, Jul 2018
  3. Full Electrothermal OLED Model Including Nonlinear Self-heating Effects
    Axel Fischer, Manuel Pfalz, Koen Vandewal, Simone Lenk, Matthias Liero, Annegret Glitzky, and Sebastian Reineke
    Phys. Rev. Applied, 10(1), pp. 014023, Jul 2018
  4. Optimal Entropy-Transport problems and a new Hellinger–Kantorovich distance between positive measures
    Matthias Liero, Alexander Mielke, and Giuseppe Savaré
    Inventiones mathematicae, 211, pp. 969–1117, Mar 2018
  5. Homogenization of Cahn–Hilliard-type equations via evolutionary Γ-convergence
    Matthias Liero, and Sina Reichelt
    Nonl. Diff. Eqns. Appl. (NoDEA), 25, pp. 6, Jan 2018


  1. On microscopic origins of generalized gradient structures
    Matthias Liero, Alexander Mielke, Mark A. Peletier, and D. R. Michiel Renger
    Discr. Cont. Dynam. Systems Ser. S, 10(1), pp. 1–25, Jan 2017
  2. 3D electrothermal simulations of organic LEDs showing negative differential resistance
    Matthias Liero, Jürgen Fuhrmann, Annegret Glitzky, Thomas Koprucki, Axel Fischer, and Sebastian Reineke
    Opt. Quantum Electron., 49, pp. 330/1–330/8, Jan 2017
  3. Thermistor systems of p(x)-Laplace-type with discontinuous exponents via entropy solutions
    Miroslav Bulíček, Annegret Glitzky, and Matthias Liero
    Discr. Cont. Dynam. Systems Ser. S, 10, pp. 697–713, Jan 2017
  4. Analysis of p(x)-Laplace thermistor models describing the electrothermal behavior of organic semiconductor devices
    Annegret Glitzky, and Matthias Liero
    Nonlinear Analysis: Real World Applications, 34, pp. 536–562, Jan 2017


  1. Optimal Transport in Competition with Reaction: The Hellinger–Kantorovich Distance and Geodesic Curves
    Matthias Liero, Alexander Mielke, and Giuseppe Savaré
    SIAM J. Math. Analysis, 48, pp. 2869–2911, Jan 2016
  2. Point contacts at the copper-indium-gallium-selenide interface–A theoretical outlook
    Adrien Bercegol, Binoy Chacko, Reiner Klenk, Iver Lauermann, Martha Ch. Lux-Steiner, and Matthias Liero
    Journal of Applied Physics, 119, pp. 155304, Jan 2016
  3. Systems describing electrothermal effects with p(x)-Laplace like structure for discontinuous variable exponents
    Miroslav Bulíček, Annegret Glitzky, and Matthias Liero
    SIAM J. Math. Analysis, 48, pp. 3496–3514, Jan 2016


  1. On gradient structures for Markov chains and the passage to Wasserstein gradient flows
    Karoline Disser, and Matthias Liero
    Networks & Heterogeneous Media, 10, pp. 233–253, Jan 2015
  2. p-Laplace thermistor modeling of electrothermal feedback in organic semiconductor devices
    Matthias Liero, Thomas Koprucki, Axel Fischer, Reinhard Scholz, and Annegret Glitzky
    Z. Angew. Math. Phys., 66, pp. 2957–2977, Jan 2015


  1. Passing from bulk to bulk-surface evolution in the Allen–Cahn equation
    Matthias Liero
    Nonl. Diff. Eqns. Appl. (NoDEA), 20, pp. 919–942, Jun 2013
  2. A new minimum principle for Lagrangian mechanics
    Matthias Liero, and Ulisse Stefanelli
    J. Nonlinear Sci., 23, pp. 179–204, Jun 2013
  3. Gradient structures and geodesic convexity for reaction-diffusion systems
    Matthias Liero, and Alexander Mielke
    Proc. Royal Soc. London Ser. A, 371, pp. 20120346, Jun 2013
  4. Weighted inertia-dissipation-energy functionals for semilinear equations
    Matthias Liero, and Ulisse Stefanelli
    Boll. Unione Mat. Ital. (9), 6, pp. 1–27, Jun 2013


  1. Rigorous derivation of a plate theory in linear elastoplasticity via Γ-convergence
    Matthias Liero, and Thomas Roche
    Nonl. Diff. Eqns. Appl. (NoDEA), 19, pp. 437–457, Aug 2012


  1. An evolutionary elastoplastic plate model derived via Γ-convergence
    Matthias Liero, and Alexander Mielke
    Math. Models Meth. Appl. Sci. (M^3AS), 21, pp. 1961–1986, Aug 2011


  1. Rate independent Kurzweil processes
    Pavel Krejčí, and Matthias Liero
    Applications of Mathematics, 54, pp. 117–145, Aug 2009

Conference Articles


  1. Unipolar Drift-Diffusion Simulation of S-Shaped Current-Voltage Relations for Organic Semiconductor Devices
    Jürgen Fuhrmann, Duy Hai Doan, Annegret Glitzky, Matthias Liero, and Grigor Nika
    In Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, Aug 2020


  1. A PDE Model for Electrothermal Feedback in Organic Semiconductor Devices
    Matthias Liero, Axel Fischer, Jürgen Fuhrmann, Thomas Koprucki, and Annegret Glitzky
    In Progress in Industrial Mathematics at ECMI 2016, Aug 2017
  2. Modeling and Simulation of Electrothermal Feedback in Large-area Organic LEDs
    Matthias Liero, Jürgen Fuhrmann, Annegret Glitzky, Thomas Koprucki, Axel Fischer, and Sebastian Reineke
    In Proceedings of the 17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017, Aug 2017
  3. The Hellinger-Kantorovich distance as a generalization of optimal-transport distances to scalar reaction-diffusion problems
    Matthias Liero
    In Oberwolfach Rep. 14, Aug 2017

Book Chapters


  1. Hybrid Finite-Volume/Finite-Element Schemes for p(x)-Laplace Thermistor Models
    Jürgen Fuhrmann, Annegret Glitzky, and Matthias Liero
    In Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017, Aug 2017


  1. Testing the Acceleration Function in Lifetime Models
    Hannelore Liero, and Matthias Liero
    In Statistical Models and Methods for Biomedical and Technical Systems, Aug 2008