Sökning: onr:"swepub:oai:DiVA.org:kau-86396" >
Scaling effects on ...
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer
-
- Raveendran, Vishnu (författare)
- Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013)
-
- Cirillo, Emilio (författare)
- ITA
-
- de Bonis, Ida (författare)
- ITA
-
visa fler...
-
- Muntean, Adrian, 1974- (författare)
- Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013)
-
visa färre...
-
(creator_code:org_t)
- 2021-12-06
- 2022
- Engelska.
-
Ingår i: Quarterly of Applied Mathematics. - : American Mathematical Society (AMS). - 0033-569X .- 1552-4485. ; 80, s. 157-200
- Relaterad länk:
-
https://doi.org/10.1...
-
visa fler...
-
https://kau.diva-por... (primary) (Raw object)
-
http://arxiv.org/pdf...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- We study the question of periodic homogenization of a variably scaled reaction-diffusion problem with non-linear drift posed for a domain crossed by a flat composite thin layer. The structure of the non-linearity in the drift was obtained in earlier works as hydrodynamic limit of a totally asymmetric simple exclusion process (TASEP) for a population of interacting particles crossing a domain with obstacle.Using energy-type estimates as well as concepts like thin-layer convergence and two-scale convergence, we derive the homogenized evolution equation and the corresponding effective model parameters for a regularized problem. Special attention is paid to the derivation of the effective transmission conditions across the separating limit interface in essentially two different situations: (i) finitely thin layer and (ii) infinitely thin layer.This study should be seen as a preliminary step needed for the investigation of averaging fast non-linear drifts across material interfaces—a topic with direct applications in the design of thin composite materials meant to be impenetrable to high-velocity impacts.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- non-linear drift
- thin-layer convergence
- periodic homogenization
- reaction-diffusion problem
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas