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2024
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Jan-Frederik Pietschmann, Ailyn Stötzner 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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2023
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Greta Marino, Jan-Frederik Pietschmann and Max Winkler
A free boundary model for transport induced neurite growth
preprint (arXiv, in print)
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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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2022
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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 (Birkhäuser: 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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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
preprint (arXiv, in print)
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2021
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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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2020
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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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Martin Burger, Patricia Friele and Jan-Frederik Pietschmann
On a reaction-cross-diffusion system modeling the growth of glioblastoma
SIAM Journal on Applied Mathematics 80, 160-182 (2020)
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Martin Burger, José Carrillo, Jan-Frederik Pietschmann and Markus Schmidtchen
Segregation effects and gap formation in cross-diffusion models
Interfaces and Free Boundaries 22, 175-203 (2020)
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Judith Berendsen, Martin Burger, Virginie Ehrlacher and Jan-Frederik Pietschmann
Uniqueness of strong solutions and weak–strong stability in a system of cross-diffusion equations
Journal of Evolution Equations 20, 459-483 (2020)
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2019
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B. Matejczyk, Jan-Frederik Pietschmann, M.-T. Wolfram and G. Richardson
Asymptotic models for transport in large aspect ratio nanopores
European Journal of Applied Mathematics 30, 557-584 (2019)
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Alexander Lorz, Jan-Frederik Pietschmann and Matthias Schlottbom
Parameter identification in a structured population model
Inverse Problems 35, 095008 (2019)
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2018
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H. Egger, K. Fellner, Jan-Frederik Pietschmann and B. Q. Tang
Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology
Applied Mathematics and Computation 336, 351-367 (2018)
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2017
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Bartłomiej Matejczyk, Mónika Valiskó, Marie-Therese Wolfram, Jan-Frederik Pietschmann and Dezső Boda
Multiscale modeling of a rectifying bipolar nanopore: comparing Poisson-Nernst-Planck to Monte Carlo
The Journal of Chemical Physics 146, 124125 (2017)
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Jan-Frederik Pietschmann
Nonlinear diffusion models – analysis and inverse problems
(2017)
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Kumulative Habilitation, Universität Münster, 2017
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Judith Berendsen, Martin Burger and Jan-Frederik Pietschmann
On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion
Nonlinear Analysis 159, 10-39 (2017)
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Herbert Egger, Jan-Frederik Pietschmann and Matthias Schlottbom
On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms
Inverse Problems 33, 115005 (2017)
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2016
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Martin Burger and Jan-Frederik Pietschmann
Flow characteristics in a crowded transport model
Nonlinearity 29, 3528-3550 (2016)
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2015
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Herbert Egger, Jan-Frederik Pietschmann and Matthias Schlottbom
Identification of chemotaxis models with volume-filling
SIAM Journal on Applied Mathematics 75, 275-288 (2015)
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Herbert Egger, Jan-Frederik Pietschmann and Matthias Schlottbom
Identification of nonlinear heat conduction laws
Journal of Inverse and Ill-posed Problems 23, 429-437 (2015)
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2014
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Trevor P. Gamble, Jan-Frederik Pietschmann, Karl Decker, Aleksei Aksimentiev and Zuzanna Siwy
Binding of alkali metals to pore walls in nanopores modulates transmembrane ion current and ionic rectification [Abstract]
Biophysical Journal 106, 215a (2014)
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Herbert Egger, Jan-Frederik Pietschmann and Matthias Schlottbom
Numerical identification of a nonlinear diffusion law via regularization in Hilbert scales
Inverse Problems 30, 025004 (2014)
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Trevor Gamble, Karl Decker, Timothy S. Plett, Matthew Pevarnik, Jan-Frederik Pietschmann, Ivan Vlassiouk, Aleksei Aksimentiev and Zuzanna S. Siwy
Rectification of ion current in nanopores depends on the type of monovalent cations: experiments and modeling
The Journal of Physical Chemistry C 118, 9809-9819 (2014)
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Herbert Egger, Jan-Frederik Pietschmann and Matthias Schlottbom
Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem
Inverse Problems 30, 035009 (2014)
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2013
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Jan-Frederik Pietschmann
Connection between microscopic and macroscopic models
in: Modeling, simulation and visual analysis of crowds: a multidisciplinary perspective, ed. by Saad Ali, Ko Nishino, Dinesh Manocha and Mubarak Shah, (The International Series in Video Computing ; 11) 43-65 (Springer: New York, NY, 2013)
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Martin Burger, Jan-Frederik Pietschmann and Marie-Therese Wolfram
Identification of nonlinearities in transport-diffusion models of crowded motion
Inverse Problems & Imaging 7, 1157-1182 (2013)
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Jan-Frederik Pietschmann, M.-T. Wolfram, M. Burger, C. Trautmann, G. Nguyen, M. Pevarnik, V. Bayer and Z. Siwy
Rectification properties of conically shaped nanopores: consequences of miniaturization
Physical Chemistry Chemical Physics 15, 16917-16926 (2013)
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2012
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Jan-Frederik Pietschmann
On some partial differential equation models in socio-economic contexts - analysis and numerical simulations
(Cambridge University: Cambridge, 2012)
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Dissertation, University of Cambridge, 2012
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2011
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Martin Burger, Peter Alexander Markowich and Jan-Frederik Pietschmann
Continuous limit of a crowd motion and herding model: analysis and numerical simulations
Kinetic & Related Models 4, 1025-1047 (2011)
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Jan-Frederik Pietschmann and Barbel Schlake
Lane formation in a microscopic model and the corresponding partial differential equation
in: 2011 IEEE International Conference on Computer Vision Workshops (ICCV Workshops), 6-13 November 2011, Barcelona, Spain, 173-179 (IEEE: Piscataway, NJ, 2011)
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Luis A. Caffarelli, Peter A. Markowich and Jan-Frederik Pietschmann
On a price formation free boundary model by Lasry and Lions
Comptes Rendus Mathematique 349, 621-624 (2011)
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Marco Di Francesco, Peter A. Markowich, Jan-Frederik Pietschmann and Marie-Therese Wolfram
On the Hughes' model for pedestrian flow: the one-dimensional case
Journal of Differential Equations 250, 1334-1362 (2011)
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2010
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Martin Burger, Marco Di Francesco, Jan-Frederik Pietschmann and Bärbel Schlake
Nonlinear cross-diffusion with size exclusion
SIAM Journal on Mathematical Analysis 42, 2842-2871 (2010)
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2009
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Bertram Düring, Peter Markowich, Jan-Frederik Pietschmann and Marie-Therese Wolfram
Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, 3687-3708 (2009)
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P. A. Markowich, N. Matevosyan, Jan-Frederik Pietschmann and M.-T. Wolfram
On a parabolic free boundary equation modeling price formation
Mathematical Models and Methods in Applied Sciences 19, 1929-1957 (2009)
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2008
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Jan-Frederik Pietschmann
Development of a novel readout system for small animal positron emission tomography
(2008)
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Diplomarbeit, Universität Münster, 2008
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Jan-Frederik Pietschmann
Long-time behaviour of nonlinear Fokker-Planck equations
(2008)
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Diplomarbeit, Universität Münster, 2008
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