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Computational Mathematics


Computational Mathematics

Logo UHasselt Universiteit Hasselt - Knowledge in action

MARKUS GAHN

Dr. Markus GAHN

 

Hasselt University
Faculty of Sciences
Discipline group Mathematics and statistics
Research group Computational mathematics

Address:  
Campus Diepenbeek
Agoralaan Gebouw D (Room nr.: D262) 
BE 3590 Diepenbeek, Belgium 
E-mail: markus.gahn@uhasselt.be
WWW: UHasselt style based
Telephone: +32-11-268149


  • Multi-scale analysis: Homogenization and asymptotic expansions with error estimates for processes in multi-component domains and perforated domains including thin heterogeneous structures
  • Mathematical modelling of reactive flow through porous media
  • Mathematical analysis of nonlinear partial differential equations: Existence and uniqueness of weak solutions
  • Mathematical modelling of biological processes in cells and membrans
  • Homogenization of reactive flow through complex media with evolving interfaces

Research and Work Experience:

From 03/2019: Postdoctoral researcher, Hasselt University, Research group "Computational
Mathematics"

09/2017 – 02/2019: Postdoctoral researcher, University of Heidelberg, Center for Modelling and Simulation in the Biosciences (BIOMS); Interdisciplinary Center for Scientific Computing (IWR)

04/2013 – 08/2017: Research assistant, Friedrich-Alexander-Universität Erlangen-Nürnberg, Department of Mathematics, Chair of Applied Analysis I

2015 Research assistantEmerging Fields Initiative (EFI) on Synthetic Biology, Friedrich-Alexander-Universität Erlangen-Nürnberg

 

Education: 

 2016 PhD,  Applied Mathematics, Friedrich-Alexander- Universität Erlangen-Nürnberg

Thesis: “Derivation of effective models for reaction-diffusion processes in multi-component media”

Supervisor: Prof. Dr. Peter Knabner, PD Dr. Maria Neuss-Radu

 

2012 Diploma, Mathematics and minor subject Physics, Ruprecht-Karls- Universität Heidelberg

Thesis: “Homogenisierung von Reaktions-Diffusionsgleichungen in Gebieten, die durch ein Netzwerk von Kanälen getrennt sind”

Supervisor: Prof. Dr. Willi Jäger, Dr. Maria Neuss-Radu

Refereed journal publications and submitted work:

  1. M. Gahn, W. Jäger, and M. Neuss-Radu. Correctors and error estimates for reaction-diffusion processes through thin heterogeneous layers in case of homogenized equations with interface diffusion. (submitted)
  2. M. Gahn. Multi-scale modeling of processes in porous media - coupling reaction-diffusion processes in the solid and the fluid phase and on separating interfaces. Accepted in Discrete & Continuous Dynamical Systems - Series B, 2019.
  3. E. Bänsch and M. Gahn. A mixed finite element method for elliptic operators with Wentzell boundary condition. Accepted in IMA Journal of Numerical Analysis, 2018.
  4. M. Gahn, M. Neuss-Radu, and P. Knabner. Effective transmission conditions for processes through thin heterogeneous layers with nonlinear transmission at the bulk-layer interface. Networks and Heterogeneous Media, 2018.
  5. M. Gahn, M. Neuss-Radu, and P. Knabner. Derivation of effective transmission conditions for domains separated by a membrane for different scaling of membrane diffusivity. Discrete & Continuous Dynamical Systems – Series S, 10(4):773-797, 2017.
  6. M. Gahn and M. Neuss-Radu. A characterization of relatively compact sets in Lp(Ω,B). Stud. Univ. Babeș-Bolyai Math., 61(3):279-290, 2016.
  7. M. Gahn, M. Neuss-Radu, and P. Knabner. Derivation of an effective model for metabolic processes in living cells including substrate channeling. Vietnam J. Math., 45(1-2):265-293, 2016.
  8. T. Elbinger, M. Gahn, M. Neuss-Radu, F. M. Hante, L. M. Voll, G. Leugering, and P. Knabner. Model based design of biochemical micro-reactors. Frontiers in Bioengineering and Biotechnology, 4, 2016.
  9. M. Gahn, M. Neuss-Radu, and P. Knabner. Homogenization of reaction-diffusion processes in a two-component porous medium with nonlinear flux conditions at the interface. SIAM J. Appl. Math., 76(5):1819-1843, 2016.
  10. T. Elbinger, M. Gahn, M. Neuss-Radu, and P. Knabner. Simulation of processes in living cells: Towards the modelling of metabolic channeling. 2nd International Conference on Multi-scale Computational Methods for Solids and Fluids, 44-47, 2015.

Theses:

Derivation of effective models for reaction-diffusion processes in multi-component media. PhD thesis (Friedrich-Alexander-Universität Erlangen-Nürnberg), Shaker Verlag, 2017.

"Homogenisierung von Reaktions-Diffusionsgleichungen in Gebieten, die durch ein Netzwerk von Kanälen getrennt sind". Diploma Thesis (Supervisor: Prof. Dr. Willi Jäger, PD Dr. Maria Neuss-Radu), University of Heidelberg, 2012.