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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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GahnJDE.pdf Restricted Access | Published version | 528.25 kB | Adobe PDF | View/Open Request a copy |
2011.12915.pdf | Non Peer-reviewed author version | 592.5 kB | Adobe PDF | View/Open |
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