Dr. Raphael Schulz


Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Project lead

(DFG Priority Programme 2089 “Rhizosphere Spatiotemporal Organisation – a Key to Rhizosphere Functions”):
Multiscale modeling with evolving microstructure: An approach to
emergence in the rhizosphere via effective soil functions
Dr. Alexander Prechtel; Dr. Raphael Schulz
(01/02/2019 - 31/01/2022)

Publications (Download BibTeX)

Schulz, R. (2019). Biofilm modeling in evolving porous media with Beavers-Joseph condition. ZAMM - Zeitschrift für angewandte Mathematik und Mechanik, 99(3). https://dx.doi.org/10.1002/zamm.201800123
Ray, N., Rupp, A., Schulz, R., & Knabner, P. (2018). Old and New Approaches Predicting the Diffusion in Porous Media. Transport in Porous Media, 124(3), 803-824. https://dx.doi.org/10.1007/s11242-018-1099-x
Schulz, R., & Knabner, P. (2017). AN EFFECTIVE MODEL FOR BIOFILM GROWTH MADE BY CHEMOTACTICAL BACTERIA IN EVOLVING POROUS MEDIA. SIAM Journal on Applied Mathematics, 77(5), 1653-1677. https://dx.doi.org/10.1137/16M108817X
Schulz, R., & Knabner, P. (2017). Derivation and analysis of an effective model for biofilm growth in evolving porous media. Mathematical Methods in the Applied Sciences, 40(8), 2930-2948. https://dx.doi.org/10.1002/mma.4211
Schulz, R., Ray, N., Frank, F., Mahato, H., & Knabner, P. (2016). Strong solvability up to clogging of an effective diffusion-precipitation model in an evolving porous medium. European Journal of Applied Mathematics, 1-29. https://dx.doi.org/10.1017/S0956792516000164

Last updated on 2017-25-08 at 02:00