Journal Articles

  • Schulz R.: "Crystal precipitation and dissolution in a porous medium: Evolving microstructure and perforated solid matrix", submitted.
  • Schulz R.: "Biofilm modeling in evolving porous media with Beavers-Joseph condition", Z. Angew. Math. Mech., accepted.
  • Ray N., Rupp A., Schulz R., Knabner P. (2018): "Old and New Approaches Predicting the Diffusion in Porous Media", Transp. Porous Med., doi 10.1007/s11242-018-1099-x.
  • Farwig R., Schulz R., Taniuchi Y. (2018): "Spatial asymptotic profiles of solutions to the Navier-Stokes system in a rotating frame with fast decaying data", Hokkaido Math. J. 47 (3), 501-529.
  • Schulz R. (2017): "Boundedness in a biofilm-chemotaxis model in evolving porous media", Math. Model. Anal. 22 (6), 852-869, doi 10.3846/13926292.2017.1389772.
  • Schulz R., Knabner P. (2017): "An effective model for biofilm growth made by chemotactical bacteria in evolving porous media", SIAM J. Appl. Math. 77 (5), 1653-1677, doi 10.1137/16M108817X.
  • Schulz R., Knabner P. (2017 published online 2016): "Derivation and analysis of an effective model for biofilm growth in evolving porous media", Math. Method Appl. Sci. 40 (8), 2930-2948, doi 10.1002/mma.4211.
  • Schulz R., Ray N., Frank F., Mahato H., Knabner P. (2017 published online 2016): "Strong solvability up to clogging of an effective diffusion-precipitation model in an evolving porous medium", Eur. J. Appl. Math. 28 (2), 179-207, doi 10.1017/S0956792516000164.
  • Farwig R., Schulz R., Yamazaki M. (2014): "Concentration-diffusion phenomena of heat convection in an incompressible fluid", Asymptotic Anal. 88, 17 - 41, doi 10.3233/ASY-131211.

Preprints & Proceedings

  • Schulz R. (2017): "Analysis of chemotactical biofilm growth in evolving microstructures", Proceedings in Applied Mathematics and Mechanics PAMM 17, 715-716.
  • Ray N., Schulz R. (2017): "Derivation of an effective model for electroosmotic flow involving free boundaries in a thin strip", FAU Erlangen, Preprint Series Angewandte Mathematik 398.
  • Ray N., Schulz R., Rupp A., Knabner P. (2016): "Past and present approaches to calculate hydrodynamic parameters in evolving porous media", FAU Erlangen, Preprint Series Angewandte Mathematik 395.

Theses

  • Diploma Thesis: Global Solvability of two-dimensional Boussinesq Equations with Non-decaying Initial Data, TU Darmstadt, 2008.      Advisor: Opens external link in new windowProf. Dr. Reinhard Farwig