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All issues ESAIM: M2AN, 48 1 (2014) 231-258 Article references

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Nonlinear flux-limited models for chemotaxis on networks

T. N. Ha Pham, Axel Klar and Raul Borsche
Networks and Heterogeneous Media 12 (3) 381 (2017)
DOI: 10.3934/nhm.2017017
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Local and global solutions for a hyperbolic–elliptic model of chemotaxis on a network

Francesca Romana Guarguaglini, Marco Papi and Flavia Smarrazzo
Mathematical Models and Methods in Applied Sciences 29 (08) 1465 (2019)
DOI: 10.1142/S021820251950026X
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Kinetic layers and coupling conditions for nonlinear scalar equations on networks

R Borsche and A Klar
Nonlinearity 31 (7) 3512 (2018)
DOI: 10.1088/1361-6544/aabc91
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Kinetic and related macroscopic models for chemotaxis on networks

R. Borsche, J. Kall, A. Klar and T. N. H. Pham
Mathematical Models and Methods in Applied Sciences 26 (06) 1219 (2016)
DOI: 10.1142/S0218202516500299
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Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation

R. Borsche and A. Klar
SIAM Journal on Scientific Computing 40 (3) A1784 (2018)
DOI: 10.1137/17M1138364
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A fully-discrete-state kinetic theory approach to traffic flow on road networks

Luisa Fermo and Andrea Tosin
Mathematical Models and Methods in Applied Sciences 25 (03) 423 (2015)
DOI: 10.1142/S0218202515400023
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Global Smooth Solutions for a Hyperbolic Chemotaxis Model on a Network

F. R. Guarguaglini and R. Natalini
SIAM Journal on Mathematical Analysis 47 (6) 4652 (2015)
DOI: 10.1137/140997099
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Numerical High-Field Limits in Two-Stream Kinetic Models and 1D Aggregation Equations

Laurent Gosse and Nicolas Vauchelet
SIAM Journal on Scientific Computing 38 (1) A412 (2016)
DOI: 10.1137/151004653
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High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models

Raul Borsche and Jochen Kall
Journal of Computational Physics 327 678 (2016)
DOI: 10.1016/j.jcp.2016.10.003
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Active Particles, Volume 2

Raul Borsche, Axel Klar and Florian Schneider
Modeling and Simulation in Science, Engineering and Technology, Active Particles, Volume 2 1 (2019)
DOI: 10.1007/978-3-030-20297-2_1
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Numerical approximation of nonhomogeneous boundary conditions on networks for a hyperbolic system of chemotaxis modeling the Physarum dynamics

Gabriella Bretti and Roberto Natalini
Journal of Computational Methods in Sciences and Engineering 18 (1) 85 (2018)
DOI: 10.3233/JCM-170773
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Chemotaxis on networks: Analysis and numerical approximation

Herbert Egger and Lukas Schöbel-Kröhn
ESAIM: Mathematical Modelling and Numerical Analysis 54 (4) 1339 (2020)
DOI: 10.1051/m2an/2019069
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