Preprints:

• M. Gahn. Multi-scale techniques and homogenization for viscoelastic non-simple materials at large strains. (arXiv:2308.15155)

• M. Gahn, W. Jäger, M. Neuss-Radu. Two-scale tools for homogenization and dimension reduction of perforated thin layers: Extensions, Korn-inequalities, and two-scale compactness of scale-dependent sets in Sobolev spaces.  (arXiv:2112.00559)

• J. Fabricius and M. Gahn. Homogenization and dimension reduction of the Stokes-problem with Navier-Slip condition in thin perforated layers (arXiv:2210.12052, accepted)

Peer-reviewed publications:  

1. M. Gahn. Homogenization of a two-phase problem with nonlinear dynamic Wentzell-interface condition for connected-disconnected porous media. European Journal of Applied Mathematics 34 (4), 617-641, 2023.

2. J. Knoch, M. Gahn, M. Neuss-Radu, N. Neuß. Multi-scale modeling and simulation of transport processes in an elastic deformable perforated medium. Transport in Porous Media 147 (1), 93-123, 2023.

3. M. Gahn, I.S. Pop. Homogenization of a mineral dissolution and precipitation model involving free boundaries at the micro scale. Journal of Differential Equations 343, 90-151, 2023.

4. A. Bhattacharya, M. Gahn, M. Neuss-Radu. Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium. Nonlinear Analysis: Real World Applications 68, 103651, 2022.

5. M. Gahn, W. Jäger, M. Neuss-Radu. Derivation of Stokes-plate-equations modeling fluid flow interacting with thin porous elastic layers. Applicable Analysis 101 (12), 4319-4348, 2022.

6. A. Rupp, M. Gahn, and G. Kanschat. Partial differential equations on hypergraphs and networks of surfaces: Derivation and hybrid discretizations. ESAIM: M2AN, 65(2):505-528, 2022.

7. M. Gahn. Singular limit for reactive transport through a thin heterogeneous layer including a nonlinear diffusion coefficient. Communications on Pure & Applied Analysis 21 (1),61, 2022.

8. M. Gahn, M. Neuss-Radu, I. S. Pop. Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions. Journal of Differential Equations 289, 95-127, 2021.

9. M. Gahn, M. Neuss-Radu. Singular limit for reactive diffusive transport through an array of thin channels in case of critical diffusivity. Multiscale Modeling & Simulation 19 (4), 1573-1600, 2021.

10. M. Gahn, W. Jäger, M. Neuss-Radu. Correctors and error estimates for reaction-diffusion processes through thin heterogeneous layers in case of homogenized equations with interface diffusion. Journal of Computational and Applied Mathematics, 2020.

11. A. Bhattacharya, M. Gahn, M. Neuss-Radu. Effective transmission conditions for reaction-diffusion processes in domains separated by thin channels. Applicable Analysis, 2020.

12. M. Gahn. Multi-scale modeling of processes in porous media – coupling reaction-diffusion processes in the solid and the fluid phase and on the separating interface. Discrete and continuous dynamical systems – Series B, 24(12): 6511-6531, 2019. 

13. E. Bänsch and M. Gahn. A mixed finite element method for elliptic operators with Wentzell boundary condition. IMA Journal of Numerical Analysis, 40, 87-108, 2020.

14. 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, 13(4), 609-640, 2018.

15. 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.

16.  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.

17. 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.

18. 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.

19.  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.
    
    

PhD-Thesis: 

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

Diploma-Thesis:

Homogenisierung von Reaktions-Diffusionsgleichungen in Gebieten, die durch ein Netzwerk von Kanälen getrennt sind. Universität Heidelberg, 2012.