Matches in SemOpenAlex for { <https://semopenalex.org/work/W4386875222> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W4386875222 abstract "The sigma-convergence concept has been up to now used to derive macroscopic models in full space dimensions. In this work, we generalize it to thin heterogeneous domains given rise to phenomena in lower space dimensions. More precisely, we provide a new approach of the sigma-convergence method that is suitable for the study of phenomena occurring in thin heterogeneous media. This is made through a systematic study of the sigma-convergence method for thin heterogeneous domains. Assuming that the thin heterogeneous layer is made of microstructures that are distributed inside in a deterministic way including as special cases the periodic and the almost periodic distributions, we make use of the concept of algebras with mean value to state and prove the main compactness results. As an illustration, we upscale a Darcy-Lapwood-Brinkmann micro-model for thin flow. We prove that, according to the magnitude of the permeability of the porous domain, we obtain as effective models, the Darcy law in lower dimensions. The effective models are derived through the solvability of either the local Darcy-Brinkmann problems or the local Hele-Shaw problems." @default.
- W4386875222 created "2023-09-20" @default.
- W4386875222 creator A5051579892 @default.
- W4386875222 creator A5081495198 @default.
- W4386875222 date "2023-09-16" @default.
- W4386875222 modified "2023-09-27" @default.
- W4386875222 title "Sigma-convergence for thin heterogeneous domains and application to the upscaling of Darcy-Lapwood-Brinkmann flow" @default.
- W4386875222 doi "https://doi.org/10.48550/arxiv.2309.09004" @default.
- W4386875222 hasPublicationYear "2023" @default.
- W4386875222 type Work @default.
- W4386875222 citedByCount "0" @default.
- W4386875222 crossrefType "posted-content" @default.
- W4386875222 hasAuthorship W4386875222A5051579892 @default.
- W4386875222 hasAuthorship W4386875222A5081495198 @default.
- W4386875222 hasBestOaLocation W43868752221 @default.
- W4386875222 hasConcept C105569014 @default.
- W4386875222 hasConcept C111919701 @default.
- W4386875222 hasConcept C120882062 @default.
- W4386875222 hasConcept C121332964 @default.
- W4386875222 hasConcept C127313418 @default.
- W4386875222 hasConcept C134306372 @default.
- W4386875222 hasConcept C162324750 @default.
- W4386875222 hasConcept C183447037 @default.
- W4386875222 hasConcept C187320778 @default.
- W4386875222 hasConcept C18762648 @default.
- W4386875222 hasConcept C2524010 @default.
- W4386875222 hasConcept C2777303404 @default.
- W4386875222 hasConcept C2778049214 @default.
- W4386875222 hasConcept C2778572836 @default.
- W4386875222 hasConcept C33923547 @default.
- W4386875222 hasConcept C36503486 @default.
- W4386875222 hasConcept C38349280 @default.
- W4386875222 hasConcept C41008148 @default.
- W4386875222 hasConcept C41625074 @default.
- W4386875222 hasConcept C50522688 @default.
- W4386875222 hasConcept C54355233 @default.
- W4386875222 hasConcept C62520636 @default.
- W4386875222 hasConcept C6648577 @default.
- W4386875222 hasConcept C86803240 @default.
- W4386875222 hasConcept C97355855 @default.
- W4386875222 hasConceptScore W4386875222C105569014 @default.
- W4386875222 hasConceptScore W4386875222C111919701 @default.
- W4386875222 hasConceptScore W4386875222C120882062 @default.
- W4386875222 hasConceptScore W4386875222C121332964 @default.
- W4386875222 hasConceptScore W4386875222C127313418 @default.
- W4386875222 hasConceptScore W4386875222C134306372 @default.
- W4386875222 hasConceptScore W4386875222C162324750 @default.
- W4386875222 hasConceptScore W4386875222C183447037 @default.
- W4386875222 hasConceptScore W4386875222C187320778 @default.
- W4386875222 hasConceptScore W4386875222C18762648 @default.
- W4386875222 hasConceptScore W4386875222C2524010 @default.
- W4386875222 hasConceptScore W4386875222C2777303404 @default.
- W4386875222 hasConceptScore W4386875222C2778049214 @default.
- W4386875222 hasConceptScore W4386875222C2778572836 @default.
- W4386875222 hasConceptScore W4386875222C33923547 @default.
- W4386875222 hasConceptScore W4386875222C36503486 @default.
- W4386875222 hasConceptScore W4386875222C38349280 @default.
- W4386875222 hasConceptScore W4386875222C41008148 @default.
- W4386875222 hasConceptScore W4386875222C41625074 @default.
- W4386875222 hasConceptScore W4386875222C50522688 @default.
- W4386875222 hasConceptScore W4386875222C54355233 @default.
- W4386875222 hasConceptScore W4386875222C62520636 @default.
- W4386875222 hasConceptScore W4386875222C6648577 @default.
- W4386875222 hasConceptScore W4386875222C86803240 @default.
- W4386875222 hasConceptScore W4386875222C97355855 @default.
- W4386875222 hasLocation W43868752221 @default.
- W4386875222 hasOpenAccess W4386875222 @default.
- W4386875222 hasPrimaryLocation W43868752221 @default.
- W4386875222 hasRelatedWork W1604583327 @default.
- W4386875222 hasRelatedWork W2037779871 @default.
- W4386875222 hasRelatedWork W2038178317 @default.
- W4386875222 hasRelatedWork W2168468285 @default.
- W4386875222 hasRelatedWork W2368776005 @default.
- W4386875222 hasRelatedWork W2389278152 @default.
- W4386875222 hasRelatedWork W3033551841 @default.
- W4386875222 hasRelatedWork W3033647711 @default.
- W4386875222 hasRelatedWork W3091980050 @default.
- W4386875222 hasRelatedWork W3146107892 @default.
- W4386875222 isParatext "false" @default.
- W4386875222 isRetracted "false" @default.
- W4386875222 workType "article" @default.