RT Journal Article
T1 Global stability for convection when the viscosity has a maximum
A1 Díaz Díaz, Jesús Ildefonso
A1 Straughan, Brian
AB 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 instabilitythresholds.
PB Springer Berlin
SN 1432-0959
YR 2004
FD 2004-05
LK https://hdl.handle.net/20.500.14352/49549
UL https://hdl.handle.net/20.500.14352/49549
LA eng
NO DGES
NO RTN
NO Leverhulme Research
DS Docta Complutense
RD 30 dic 2025