2026-06-08T05:14:27Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/495492023-08-25T13:21:52Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Díaz Díaz, Jesús Ildefonso
author
Straughan, Brian
2023-06-20T09:26:39Z
2023-06-20T09:26:39Z
2004-05
1432-0959
10.1007/s00161-003-0158-9
https://hdl.handle.net/20.500.14352/49549
http://www.springerlink.com/content/0935-1175/
Until now, an unconditional nonlinear energy stability analysis for thermal convection according to Navier–Stokes theory had not been developed for the case in which the viscosity depends on the temperature in a quadratic manner such that the viscosity has a maximum. We analyse here a model of non-Newtonian fluid behaviour that allows us to develop an unconditional analysis directly when the quadratic viscosity relation is allowed. By unconditional, we mean that the nonlinear stability so obtained holds for arbitrarily large perturbations of the initial data. The nonlinear stability boundaries derived herein are sharp when compared with the linear instability
thresholds.
eng
Global stability for convection when the viscosity has a maximum
journal article
URL
https://docta.ucm.es/bitstreams/1ee57924-d6c7-40fd-8166-99e787760720/download
File
MD5
57e8e276828b5ddfa41ec2cca2bcb253
134904
application/pdf
2002globalst.pdf