Viscoelastic flows in a rough channel: a multiscale analysis - Archive ouverte HAL Access content directly
Journal Articles Annales de l'Institut Henri Poincaré C, Analyse non linéaire Year : 2016

Viscoelastic flows in a rough channel: a multiscale analysis

Abstract

In this paper, we consider viscoelastic flows in a rough domain (with typical roughness patterns of size ε ≪ 1). We present and rigorously justify an asymptotic expansion with respect to ε, at any order, based upon the definition of elementary problems: Oldroyd-type problems at the global scale defined on a smoothened domain and boundary-layer corrector problems. The resulting analysis guarantees optimality with respect to the truncation error.
Fichier principal
Vignette du fichier
CM_Oldroyd_Roughness.pdf (312.59 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01129984 , version 1 (11-03-2015)

Identifiers

Cite

Laurent Chupin, Sébastien Martin. Viscoelastic flows in a rough channel: a multiscale analysis. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2016. ⟨hal-01129984⟩
165 View
87 Download

Altmetric

Share

Gmail Facebook X LinkedIn More