Emerging Network Structures and Neuromorphic Applications

Project Information

NEUROMORPH

Grant agreement ID: 101018153

DOI

10.3030/101018153

EC signature date 8 May 2021

Start date 1 October 2021

End date 30 September 2027

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 945 713,00

EU contribution

€ 1 945 713,00

Coordinated by

TECHNISCHE UNIVERSITAET WIEN
Austria

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (41)

Analysis of a fractional cross-diffusion system for multi-species populations

Author(s): Ansgar Jüngel; Nicola Zamponi
Published in: Journal of Differential Equations, Issue 322, 2022, Page(s) 237-267, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2022.03.028

Existence analysis for a reaction-diffusion Cahn–Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth

Author(s): Christoph Helmer, Ansgar Jüngel
Published in: Discrete and Continuous Dynamical Systems, Issue 43, 2023, Page(s) 3839-3861, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2023069

The Shigesada–Kawasaki–Teramoto cross-diffusion system beyond detailed balance

Author(s): Xiuqing Chen, Ansgar Jüngel, Lei Wang
Published in: Journal of Differential Equations, Issue 360, 2023, Page(s) 260–286, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2023.02.048

Fluid Relaxation Approximation of the Busenberg–Travis Cross-Diffusion System

Author(s): José Antonio Carrillo, Xiuqing Chen, Bang Du, Ansgar Jüngel
Published in: Communications in Mathematical Physics, Issue 406, 2025, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-025-05341-2

Energy identity for the incompressible Cahn–Hilliard/Navier–Stokes system with non–degenerate mobility

Author(s): Stefanos Georgiadis
Published in: Zeitschrift für angewandte Mathematik und Physik, Issue 75, 2024, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-024-02312-w

Global weak solutions for a nonlocal multispecies Fokker–Planck–Landau system

Author(s): Jingwei Hu, Ansgar Jüngel, Nicola Zamponi
Published in: Kinetic and Related Models, Issue 17, 2024, Page(s) 939-970, ISSN 1937-5093
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/krm.2024007

A coupled stochastic differential reaction–diffusion system for angiogenesis

Author(s): Markus Fellner, Ansgar Jüngel
Published in: Journal of Computational and Applied Mathematics, Issue 438, 2024, Page(s) 115570, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2023.115570

A Convergent Entropy-Dissipating BDF2 Finite-Volume Scheme for a Population Cross-Diffusion System

Author(s): Ansgar Jüngel, Martin Vetter
Published in: Computational Methods in Applied Mathematics, Issue 24, 2024, Page(s) 725-746, ISSN 1609-4840
Publisher: Walter de Gruyter and Co.
DOI: 10.1515/cmam-2023-0009

Large-time asymptotics for degenerate cross-diffusion population models with volume filling

Author(s): Xiuqing Chen, Ansgar Jüngel, Xi Lin, and Ling Liu
Published in: Journal of Differential Equations, Issue 386, 2024, Page(s) 1-15, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2023.12.017

Hyperbolic–parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion

Author(s): Pierre-Étienne Druet; Katharina Hopf; Ansgar Jüngel
Published in: Communications in Partial Differential Equations, Issue 48, 2023, Page(s) 863-894, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.1080/03605302.2023.2212479

Degenerate Drift–Diffusion Systems for Memristors

Author(s): Ansgar Jüngel, Martin Vetter
Published in: SIAM Journal on Mathematical Analysis, Issue 56, 2024, Page(s) 7780-7807, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1620235

Three-species drift-diffusion models for memristors

Author(s): Clément Jourdana, Ansgar Jüngel, Nicola Zamponi
Published in: Mathematical Models and Methods in Applied Sciences, Issue 33, 2023, Page(s) 2113-2156, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202523500501

Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation

Author(s): Xiaokai Huo and Ansgar Jüngel
Published in: Journal of Mathematical Fluid Mechanics, Issue 26, 2024, Page(s) no. 11, ISSN 1422-6928
Publisher: Birkhauser Verlag
DOI: 10.1007/s00021-023-00840-5

Charge Transport Systems with Fermi–Dirac Statistics for Memristors

Author(s): Maxime Herda, Ansgar Jüngel, Stefan Portisch
Published in: Journal of Nonlinear Science, Issue 35, 2025, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-025-10140-z

Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures

Author(s): Miroslav Bulicek, Ansgar Jüngel, Milan Pokorny, and Nicola Zamponi
Published in: Journal of Mathematical Physics, Issue 63, 2022, Page(s) no. 051501, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0041053

Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems ^*

Author(s): Stefanos Georgiadis, Ansgar Jüngel
Published in: Nonlinearity, Issue 37, 2024, Page(s) 075016, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ad4c49

Analysis of a finite-volume scheme for a single-species biofilm model

Author(s): Christoph Helmer; Ansgar Jüngel; Antoine Zurek
Published in: Applied Numerical Mathematics, Issue 185, 2023, Page(s) 386-405, ISSN 0168-9274
Publisher: Elsevier BV
DOI: 10.48550/arxiv.2110.14933

Existence of global weak solutions to a Cahn–Hilliard cross-diffusion system in lymphangiogenesis

Author(s): Ansgar Jüngel, Yue Li
Published in: Discrete and Continuous Dynamical Systems, Issue 45, 2024, Page(s) 286-308, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2024093

Structure-preserving semi-convex-splitting numerical scheme for a Cahn–Hilliard cross-diffusion system in lymphangiogenesis

Author(s): Ansgar Jüngel, Boyi Wang
Published in: Mathematical Models and Methods in Applied Sciences, Issue 34, 2024, Page(s) 1905-1932, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202524500398

Global weak solutions to a fractional Cahn–Hilliard cross-diffusion system in lymphangiogenesis

Author(s): Ansgar Jüngel, Yue Li
Published in: Discrete and Continuous Dynamical Systems, Issue 51, 2026, Page(s) 96-118, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2026022

Formal derivation of quantum drift-diffusion equations with spin-orbit interaction

Author(s): Luigi Barletti, Philipp Holzinger, and Ansgar Jüngel
Published in: Kinetic and Related Models, Issue 15, 2022, Page(s) 257-282, ISSN 1937-5077
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/krm.2022007

Absence of anomalous dissipation for weak solutions of the Maxwell–Stefan system

Author(s): Luigi C Berselli, Stefanos Georgiadis, Athanasios E Tzavaras
Published in: Nonlinearity, Issue 38, 2025, Page(s) 025018, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ada7b8

A structure-preserving quasi-convex-splitting finite-element scheme for a Cahn–Hilliard cross-diffusion system in lymphangiogenesis

Author(s): Boyi Wang
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, Issue 59, 2025, Page(s) 1685-1704, ISSN 2822-7840
Publisher: EDP Sciences
DOI: 10.1051/m2an/2025039

Bayesian Inversion for the Identification of the Doping Profile in Unipolar Semiconductor Devices

Author(s): Leila Taghizadeh, Ansgar Jüngel
Published in: SIAM Journal on Scientific Computing, Issue 47, 2025, Page(s) B690-B709, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/24m1687042

Convergence of a finite-volume scheme and dissipative measure-valued–strong stability for a hyperbolic–parabolic cross-diffusion system

Author(s): Katharina Hopf, Ansgar Jüngel
Published in: Numerische Mathematik, Issue 157, 2025, Page(s) 951-992, ISSN 0029-599X
Publisher: Springer Verlag
DOI: 10.1007/s00211-025-01474-7

Fluctuations Around the Mean-Field Limit for Attractive Riesz Potentials in the Moderate Regime

Author(s): Li Chen, Alexandra Holzinger, Ansgar Jüngel
Published in: Archive for Rational Mechanics and Analysis, Issue 250, 2026, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-025-02161-5

Spin-diffusion model for micromagnetics in the limit of long times

Author(s): Giovanni di Fratta, Ansgar Jüngel, Dirk Praetorius, and Valeriy Slastikov
Published in: Journal of Differential Equations, Issue 343, 2023, Page(s) 467-494, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2022.10.012

Analysis and mean-field derivation of a porous-medium equation with fractional diffusion

Author(s): Li Chen; Alexandra Holzinger; Ansgar Jüngel; Nicola Zamponi
Published in: Communications in Partial Differential Equations, Issue 47, 2022, Page(s) 2217–2269, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.48550/arxiv.2109.08598

Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites

Author(s): Markus Fellner, Ansgar Jüngel
Published in: Nonlinear Analysis, Issue 241, 2024, Page(s) no. 113494, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2024.113494

Three results on the energy conservation for the 3D Euler equations

Author(s): Luigi C. Berselli, Stefanos Georgiadis
Published in: Nonlinear Differential Equations and Applications NoDEA, Issue 31, 2024, ISSN 1021-9722
Publisher: Birkhauser Verlag
DOI: 10.1007/s00030-024-00924-9

Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models

Author(s): Marcel Braukhoff; Florian Huber; Ansgar Jüngel
Published in: Stochastics and PDEs: Analysis and Computations, Issue 1, 2023, ISSN 2194-041X
Publisher: Springer
DOI: 10.1007/s40072-023-00289-7

A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations

Author(s): Ansgar Jüngel, Stefan Portisch, Antoine Zurek
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, Issue 58, 2024, Page(s) 759-792, ISSN 2822-7840
Publisher: EDP Sciences
DOI: 10.1051/m2an/2024016

Nonlocal cross-diffusion systems for multi-species populations and networks

Author(s): Ansgar Jüngel, Stefan Portisch, and Antoine Zurek
Published in: Nonlinear Analysis, Issue 219, 2022, Page(s) no. 112800, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2022.112800

Analysis of a Poisson–Nernst–Planck–Fermi system for charge transport in ion channels

Author(s): Ansgar Jüngel and Annamaria Massimini
Published in: Journal of Differential Equations, Issue 395, 2024, Page(s) 38-68, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2024.02.046

Cross-diffusion systems coupled via a moving interface

Author(s): Clément Cancès, Jean Cauvin-Vila, Claire Chainais-Hillairet, Virginie Ehrlacher
Published in: Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications, Issue 28, 2026, Page(s) 151-190, ISSN 1463-9963
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/ifb/536

Existence and weak–strong uniqueness for Maxwell–Stefan–Cahn–Hilliard systems

Author(s): Xiaokai Huo, Ansgar Jüngel, Athanasios E. Tzavaras
Published in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Issue 41, 2024, Page(s) 797-852, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.4171/aihpc/89

Random-batch method for multi-species stochastic interacting particle systems

Author(s): Esther S. Daus; Markus Fellner; Ansgar Jüngel
Published in: Journal of Computational Physics, Issue 463, 2022, Page(s) 111220, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2022.111220

Alignment via Friction for Nonisothermal Multicomponent Fluid Systems

Author(s): Stefanos Georgiadis, Athanasios E. Tzavaras
Published in: Acta Applicandae Mathematicae, Issue 191, 2024, ISSN 0167-8019
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10440-024-00655-0

A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems

Author(s): Ansgar Jüngel, Antoine Zurek
Published in: IMA Journal of Numerical Analysis, Issue 43, 2023, Page(s) 560–589, ISSN 0272-4979
Publisher: Oxford University Press
DOI: 10.1093/imanum/drab101

Two-dimensional signal-dependent parabolic-elliptic Keller-Segel system and its mean-field derivation

Author(s): Lukas Bol, Li Chen, Yue Li
Published in: Journal of Differential Equations, Issue 450, 2026, Page(s) 113712, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2025.113712

Weak-strong uniqueness for Maxwell-Stefan systems

Author(s): Xiaokai Huo; Ansgar Jüngel; Athanasios E. Tzavaras
Published in: SIAM Journal of Mathematical Analysis, Issue 54, 2022, Page(s) 3215--3252, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.48550/arxiv.2110.05331

Thesis and dissertations (3)

Analysis and numerical approximation of degenerate parabolic systems arising in thermodynamics and biology

Author(s): Christoph Helmer
Published in: TU Repositum, 2023, Page(s) 1-108
Publisher: TU Wien
DOI: 10.34726/hss.2023.112187

Numerische Simulation und mathematische Analysis von diffusiven Mehrspezies-Systemen in der Biologie und Physik

Author(s): Markus Fellner
Published in: TU Repositum, 2023, Page(s) 1-127
Publisher: TU Wien
DOI: 10.34726/hss.2023.112110

Rigorous derivations of diffusion systems from moderately interacting particle models

Author(s): Alexandra Holzinger
Published in: TU Repositum, 2023, Page(s) 1-185
Publisher: TU Wien
DOI: 10.34726/hss.2023.112186

Book chapters (4)

Non-isothermal Multicomponent Flows with Mass Diffusion and Heat Conduction

Author(s): Stefanos Georgiadis, Ansgar Jüngel, Athanasios E. Tzavaras
Published in: SEMA SIMAI Springer Series, Hyperbolic Problems: Theory, Numerics, Applications. Volume I, Issue 2024, 2024, Page(s) 263-273, ISBN 978-3-031-55259-5
Publisher: Springer Nature Switzerland
DOI: 10.1007/978-3-031-55260-1_19

Global Martingale Solutions to a Segregation Cross-Diffusion System with Stochastic Forcing

Author(s): Mrinmay Biswas, Ansgar Jüngel
Published in: Springer Proceedings in Mathematics & Statistics, Modeling, Analysis and Simulations of Multiscale Transport Phenomena, 2025, Page(s) 1-23
Publisher: Springer Nature Singapore
DOI: 10.1007/978-981-96-3098-1_1

Finite Volumes for a Generalized Poisson-Nernst-Planck System with Cross-Diffusion and Size Exclusion

Author(s): Clément Cancès, Maxime Herda, Annamaria Massimini
Published in: Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems, 2023, Page(s) 57-73
Publisher: Springer Nature Switzerland
DOI: 10.1007/978-3-031-40864-9_4

Necessary and Sufficient Conditions for Strong Stability of Explicit Runge–Kutta Methods

Author(s): Franz Achleitner, Anton Arnold, Ansgar Jüngel
Published in: Springer Proceedings in Mathematics & Statistics, From Particle Systems to Partial Differential Equations, 2024, Page(s) 1-21
Publisher: Springer International Publishing
DOI: 10.1007/978-3-031-65195-3_1

Conference proceedings (1)

Hypocoercivity for linear ODEs and strong stability for Runge–Kutta methods

Author(s): Franz Achleitner, Anton Arnold, Ansgar Jüngel
Published in: AIP Conference Proceedings, IV INTERNATIONAL SCIENTIFIC AND PRACTICAL SYMPOSIUM “MATERIALS SCIENCE AND TECHNOLOGY”: MST-IV-2024, Issue 3347, 2025, Page(s) 090001
Publisher: AIP Publishing
DOI: 10.1063/5.0286061