Third-grade fluids in the aperture domain: Existence, regularity and decay

Authors
Passerini, A Patria, MC Thater, G
Citation
A. Passerini et al., Third-grade fluids in the aperture domain: Existence, regularity and decay, MATH MOD M, 10(5), 2000, pp. 711-736
Citations number
41
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN journal
02182025 → ACNP
Volume
10
Issue
5
Year of publication
2000
Pages
711 - 736
Database
ISI
SICI code
0218-2025(200007)10:5<711:TFITAD>2.0.ZU;2-6
Abstract
We analyze steady motions of incompressible second- and third-grade fluids in an aperture domain. Such flows exist due to a pressure drop and provided the flux through the hole is small. We prove that the asymptotic behavior of their velocity held far from the aperture is of order \x\(-2), which is the optimal result.