We address the problem of parametrizing the boundary data for reaction‐diffusion partial differential equations associated to distributed systems that possess rough boundaries. Using techniques from homogenization theory and multiple‐scale analysis we present the effective equation and boundary conditions that are satisfied by the homogenized solution. We present numerical simulations that validate our theoretical results.
Mocenni, C., Sparacino, E., J., P.Z. (2009). Homogenization of multi-species reaction-diffusion systems in domains with rough boundaries. In AIP CONFERENCE PROCEEDINGS (pp.89-92) [10.1063/1.3241626].
Homogenization of multi-species reaction-diffusion systems in domains with rough boundaries
MOCENNI, CHIARA;SPARACINO, EMILIANO;
2009-01-01
Abstract
We address the problem of parametrizing the boundary data for reaction‐diffusion partial differential equations associated to distributed systems that possess rough boundaries. Using techniques from homogenization theory and multiple‐scale analysis we present the effective equation and boundary conditions that are satisfied by the homogenized solution. We present numerical simulations that validate our theoretical results.
| File | Dimensione | Formato | |
|---|---|---|---|
|
AIPC_2009.pdf
non disponibili
Tipologia:
Post-print
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
1.07 MB
Formato
Adobe PDF
|
1.07 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11365/4715
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo