Remarks on Boundary Layer Expansions

A systematic mathematical methodology for derivation of boundary layer expansions is presented. An explicit calculation of boundary layer sizes is given and proved to be coordinates system independent. It relies on asymptotic properties of symbols of operators. Several examples, including the quasigeostrophic model, are discussed.

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Source https://hal.science/hal-00080941
Author Gerard-Varet, David, Paul, Thierry
Maintainer CCSD
Last Updated May 11, 2026, 15:25 (UTC)
Created May 11, 2026, 15:25 (UTC)
Identifier hal-00080941
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Département de Mathématiques et Applications - ENS-PSL (UMR8553) (DMA) ; École normale supérieure - Paris (ENS-PSL) ; Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
creator Gerard-Varet, David
date 2006-06-21T00:00:00
harvest_object_id c263bf18-efa4-4321-ba87-ead8f181edfa
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-03-20T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/math.AP/0606525
set_spec type:UNDEFINED