Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Markus Gahn"'
Autor:
Markus Gahn
Publikováno v:
Jahresbericht der Deutschen Mathematiker-Vereinigung. 124:259-266
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3e9644c38477cbb6ed456808a68ddf7
https://doi.org/10.1365/s13291-022-00260-w
https://doi.org/10.1365/s13291-022-00260-w
Publikováno v:
Journal of Differential Equations. 289:95-127
We consider a reaction-diffusion-advection problem in a perforated medium, with nonlinear reactions in the bulk and at the microscopic boundary, and slow diffusion scaling. The microstructure changes in time; the microstructural evolution is known a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab9e648ddcf2af3dcdaec8df25bf6b1b
https://doi.org/10.1016/j.jde.2021.04.013
https://doi.org/10.1016/j.jde.2021.04.013
In this paper, we derive an effective model for transport processes in periodically perforated elastic media, taking into account, e.g., cyclic elastic deformations as they occur in lung tissue due to respiratory movement. The underlying microscopic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::950b1daab9efb39c8aa7e1c45b9a5cd9
http://arxiv.org/abs/2206.06671
http://arxiv.org/abs/2206.06671
Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium
We consider a nonlinear drift-diffusion system for multiple charged species in a porous medium in 2D and 3D with periodic microstructure. The system consists of a transport equation for the concentration of the species and Poisson's equation for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5d6f33c3c7391b4e561ce750b1f58e9
http://arxiv.org/abs/2110.09257
http://arxiv.org/abs/2110.09257
Autor:
Markus Gahn
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 24:6511-6531
The aim of this paper is the derivation of general two-scale compactness results for coupled bulk-surface problems. Such results are needed for example for the homogenization of elliptic and parabolic equations with boundary conditions of second orde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e600168cd49f106cfd532f5326a64e4
https://doi.org/10.3934/dcdsb.2019151
https://doi.org/10.3934/dcdsb.2019151
Autor:
Markus Gahn
Publikováno v:
Communications on Pure & Applied Analysis.
Reactive transport processes in porous media including thin heterogeneous layers play an important role in many applications. In this paper, we investigate a reaction-diffusion problem with nonlinear diffusion in a domain consisting of two bulk domai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e0a49d2cdbc7757e2e11b0ee9c19ffe
https://doi.org/10.3934/cpaa.2021167
https://doi.org/10.3934/cpaa.2021167
Autor:
Markus Gahn, Maria Neuss-Radu
We consider a nonlinear reaction--diffusion equation in a domain consisting of two bulk regions connected via small channels periodically distributed within a thin layer. The height and the thickness of the channels are of order $\epsilon$, and the e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07956b8d56827a25f364e0de12fc00d6
http://arxiv.org/abs/2003.13310
http://arxiv.org/abs/2003.13310
We consider a reaction--diffusion equation in a domain consisting of two bulk regions connected via small channels periodically distributed within a thin layer. The height and the thickness of the channels are of order $\epsilon$, and the equation in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b5e41ff419977fd9d6e1dc89e9f8343
Autor:
Eberhard Bänsch, Markus Gahn
Publikováno v:
IMA Journal of Numerical Analysis. 40:87-108
In this paper we introduce and analyze a mixed finite-element approach for a coupled bulk-surface problem of second order with a Wentzell boundary condition. The problem is formulated on a domain with a curved smooth boundary. We introduce a mixed fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::213b9beeb7db3b63fa28cb77bda23b18
https://doi.org/10.1093/imanum/dry068
https://doi.org/10.1093/imanum/dry068
Publikováno v:
Networks & Heterogeneous Media. 13:609-640
In this paper, we consider a system of reaction-diffusion equations in a domain consisting of two bulk regions separated by a thin layer with thickness of order $e$ and a periodic heterogeneous structure. The equations inside the layer depend on $e$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b4795febdda95826d6db660d689499b
https://doi.org/10.3934/nhm.2018028
https://doi.org/10.3934/nhm.2018028