Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/34092
Title: Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions
Authors: GAHN, Markus 
Neuss-Radu, M
POP, Sorin 
Issue Date: 2021
Publisher: Elsevier
Source: JOURNAL OF DIFFERENTIAL EQUATIONS, 289 , p. 95 -127
Abstract: 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 priori. The aim of the paper is the rigorous derivation of a homogenized model. We use appropriately scaled function spaces, which allow us to show compact-ness results, especially regarding the time-derivative and we prove strong two-scale compactness results of Kolmogorov-Simon-type, which allow to pass to the limit in the nonlinear terms. The derived macroscopic model depends on the micro-and the macro-variable, and the evolution of the underlying microstructure is approximated by time-and space-dependent reference elements.
Keywords: Homogenization;Evolving micro-domain;Strong two-scale convergence;Unfolding operator;Reaction-diffusion-advection equation;Nonlinear boundary condition
Document URI: http://hdl.handle.net/1942/34092
ISSN: 0022-0396
e-ISSN: 1090-2732
DOI: 10.1016/j.jde.2021.04.013
ISI #: WOS:000647676600004
Category: A1
Type: Journal Contribution
Validations: ecoom 2022
Appears in Collections:Research publications

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