Rebecca M. Crossley, Jan-Frederik Pietschmann and Markus Schmidtchen
Existence of weak solutions for a volume-filling model of cell invasion into extracellular matrix
Journal of Differential Equations 428, 721-746 (2025)
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Ariane Fazeny, Martin Burger and Jan-Frederik Pietschmann
Optimal transport on gas networks
European Journal of Applied Mathematics , (in print)
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Greta Marino, Jan-Frederik Pietschmann and Max Winkler
A free boundary model for transport-induced neurite growth
European Journal of Applied Mathematics , 1-27 (in print)
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Jan-Frederik Pietschmann, Ailyn St?tzner and Max Winkler
Numerical investigation of agent controlled pedestrian dynamics using a structure preserving finite volume scheme
Advances in Computational Mathematics 50, 4 (2024)
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Jean Cauvin-Vila, Virginie Ehrlacher, Greta Marino and Jan-Frederik Pietschmann
Stationary solutions and large time asymptotics to a cross-diffusion-Cahn–Hilliard system
Nonlinear Analysis 241, 113482 (2024)
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Greta Marino, Alois Pichler and Jan-Frederik Pietschmann
Uncertainty analysis for evolution equations
International Journal for Uncertainty Quantification 14, 31-59 (2024)
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Martin Burger, Ina Humpert and Jan-Frederik Pietschmann
Dynamic optimal transport on networks
ESAIM: COCV 29, 54 (2023)
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Antonio Esposito, Georg Heinze, Jan‐Frederik Pietschmann and André Schlichting
Graph‐to‐local limit for a multi‐species nonlocal cross‐interaction system
PAMM: Proceedings in Applied Mathematics and Mechanics 23, e202300094 (2023)
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Georg Heinze, Jan-Frederik Pietschmann and Markus Schmidtchen
Nonlocal cross-interaction systems on graphs: energy landscape and dynamics
Kinetic and Related Models 16, 795-827 (2023)
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Roland Herzog, Jan-Frederik Pietschmann and Max Winkler
Optimal control of Hughes' model for pedestrian flow via local attraction
Applied Mathematics & Optimization 88, 87 (2023)
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Kai Bergmann, Carsten Deibel, Roland Herzog, Roderick C. I. Mackenzie, Jan-Frederik Pietschmann and Martin Stoll
Preconditioning for a phase-field model with application to morphology evolution in organic semiconductors
Communications in Computational Physics 34, 1-17 (2023)
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Jan Blechschmidt, Jan-Frederik Pietschmann, Tom-Christian Riemer, Martin Stoll and Max Winkler
A comparison of PINN approaches for drift-diffusion equations on metric graphs
preprint (arXiv, in print)
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Maria Bruna, Martin Burger, Jan-Frederik Pietschmann and Marie-Therese Wolfram
Active crowds
in: Active particles, volume 3: advances in theory, models, and applications, ed. by Nicola Bellomo, José Antonio Carrillo and Eitan Tadmor, (Modeling and Simulation in Science, Engineering and Technology) 35-73 (Birkh?user: Cham, 2022)
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Jan-Frederik Pietschmann and Matthias Schlottbom
Data-driven gradient flows
ETNA - Electronic Transactions on Numerical Analysis 57, 193-215 (2022)
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Martin Burger, Jan-Frederik Pietschmann, Helene Ranetbauer, Christian Schmeiser and Marie-Therese Wolfram
Mean-field models for segregation dynamics
European Journal of Applied Mathematics 33, 111-132 (2022)
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V. Ehrlacher, Greta Marino and Jan-Frederik Pietschmann
Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system
Journal of Differential Equations 286, 578-623 (2021)
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Ina Humpert, Danila Di Meo, Andreas W. Püschel and Jan-Frederik Pietschmann
On the role of vesicle transport in neurite growth: modeling and experiments
Mathematical Biosciences 338, 108632 (2021)
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Greta Marino, Jan-Frederik Pietschmann and Alois Pichler
Uncertainty analysis for drift-diffusion equations
preprint (arXiv, in print)
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Philipp Werner, Martin Burger and Jan-Frederik Pietschmann
A PDE model for bleb formation and interaction with linker proteins
Transactions of Mathematics and its Applications 4, tnaa001 (2020)
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Martin Burger, Jan-Frederik Pietschmann and Marie-Therese Wolfram
Data assimilation in price formation
Inverse Problems 36, 064003 (2020)
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Sebastian Reichert, Jens Flemming, Qingzhi An, Yana Vaynzof, Jan-Frederik Pietschmann and Carsten Deibel
Ionic-defect distribution revealed by improved evaluation of deep-level transient spectroscopy on perovskite solar cells
Physical Review Applied 13, 034018 (2020)
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Martin Burger, Ina Humpert and Jan-Frederik Pietschmann
On Fokker-Planck equations with in- and outflow of mass
Kinetic & Related Models 13, 249-277 (2020)
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