Emerging Network Structures and Neuromorphic Applications

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

Autores: Ansgar Jüngel; Nicola Zamponi
Publicado en: Journal of Differential Equations, Edición 00220396, 2022, Página(s) 237-267, ISSN 0022-0396
Editor: 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

Autores: Christoph Helmer, Ansgar Jüngel
Publicado en: Discrete and Continuous Dynamical Systems, Edición 43, 2023, Página(s) 3839-3861, ISSN 1078-0947
Editor: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2023069

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

Autores: Xiuqing Chen, Ansgar Jüngel, Lei Wang
Publicado en: Journal of Differential Equations, Edición 360, 2023, Página(s) 260–286, ISSN 0022-0396
Editor: Academic Press
DOI: 10.1016/j.jde.2023.02.048

A coupled stochastic differential reaction–diffusion system for angiogenesis

Autores: Markus Fellner, Ansgar Jüngel
Publicado en: Journal of Computational and Applied Mathematics, Edición 438, 2024, Página(s) 115570, ISSN 0377-0427
Editor: Elsevier BV
DOI: 10.1016/j.cam.2023.115570

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

Autores: Xiuqing Chen, Ansgar Jüngel, Xi Lin, and Ling Liu
Publicado en: Journal of Differential Equations, Edición 386, 2024, Página(s) 1-15, ISSN 0022-0396
Editor: 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

Autores: Pierre-Étienne Druet; Katharina Hopf; Ansgar Jüngel
Publicado en: Communications in Partial Differential Equations, Edición 48, 2023, Página(s) 863-894, ISSN 0360-5302
Editor: Marcel Dekker Inc.
DOI: 10.1080/03605302.2023.2212479

Three-species drift-diffusion models for memristors

Autores: Clément Jourdana, Ansgar Jüngel, Nicola Zamponi
Publicado en: Mathematical Models and Methods in Applied Sciences, Edición 33, 2023, Página(s) 2113-2156, ISSN 0218-2025
Editor: World Scientific Publishing Co
DOI: 10.1142/s0218202523500501

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

Autores: Xiaokai Huo and Ansgar Jüngel
Publicado en: Journal of Mathematical Fluid Mechanics, Edición 26, 2024, Página(s) no. 11, ISSN 1422-6928
Editor: Birkhauser Verlag
DOI: 10.1007/s00021-023-00840-5

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

Autores: Miroslav Bulicek, Ansgar Jüngel, Milan Pokorny, and Nicola Zamponi
Publicado en: Journal of Mathematical Physics, Edición 63, 2022, Página(s) no. 051501, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/5.0041053

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

Autores: Christoph Helmer; Ansgar Jüngel; Antoine Zurek
Publicado en: Applied Numerical Mathematics, Edición 185, 2023, Página(s) 386-405, ISSN 0168-9274
Editor: Elsevier BV
DOI: 10.48550/arxiv.2110.14933

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

Autores: Luigi Barletti, Philipp Holzinger, and Ansgar Jüngel
Publicado en: Kinetic and Related Models, Edición 15, 2022, Página(s) 257-282, ISSN 1937-5077
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/krm.2022007

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

Autores: Giovanni di Fratta, Ansgar Jüngel, Dirk Praetorius, and Valeriy Slastikov
Publicado en: Journal of Differential Equations, Edición 343, 2023, Página(s) 467-494, ISSN 0022-0396
Editor: Academic Press
DOI: 10.1016/j.jde.2022.10.012

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

Autores: Li Chen; Alexandra Holzinger; Ansgar Jüngel; Nicola Zamponi
Publicado en: Communications in Partial Differential Equations, Edición 47, 2022, Página(s) 2217–2269, ISSN 0360-5302
Editor: 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

Autores: Markus Fellner, Ansgar Jüngel
Publicado en: Nonlinear Analysis, Edición 241, 2024, Página(s) no. 113494, ISSN 0362-546X
Editor: Pergamon Press Ltd.
DOI: 10.1016/j.na.2024.113494

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

Autores: Marcel Braukhoff; Florian Huber; Ansgar Jüngel
Publicado en: Stochastics and PDEs: Analysis and Computations, Edición 1, 2023, ISSN 2194-041X
Editor: Springer
DOI: 10.1007/s40072-023-00289-7

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

Autores: Ansgar Jüngel, Stefan Portisch, and Antoine Zurek
Publicado en: Nonlinear Analysis, Edición 219, 2022, Página(s) no. 112800, ISSN 0362-546X
Editor: Pergamon Press Ltd.
DOI: 10.1016/j.na.2022.112800

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

Autores: Ansgar Jüngel and Annamaria Massimini
Publicado en: Journal of Differential Equations, Edición 395, 2024, Página(s) 38-68, ISSN 0022-0396
Editor: Academic Press
DOI: 10.1016/j.jde.2024.02.046

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

Autores: Esther S. Daus; Markus Fellner; Ansgar Jüngel
Publicado en: Journal of Computational Physics, Edición 463, 2022, Página(s) 111220, ISSN 0021-9991
Editor: Academic Press
DOI: 10.1016/j.jcp.2022.111220

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

Autores: Ansgar Jüngel, Antoine Zurek
Publicado en: IMA Journal of Numerical Analysis, Edición 43, 2023, Página(s) 560–589, ISSN 0272-4979
Editor: Oxford University Press
DOI: 10.1093/imanum/drab101

Weak-strong uniqueness for Maxwell-Stefan systems

Autores: Xiaokai Huo; Ansgar Jüngel; Athanasios E. Tzavaras
Publicado en: SIAM Journal of Mathematical Analysis, Edición 54, 2022, Página(s) 3215--3252, ISSN 0036-1410
Editor: Society for Industrial and Applied Mathematics
DOI: 10.48550/arxiv.2110.05331

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