Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect.
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 4 (1993) no. 3, pp. 223-230
Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica
We establish a nonlinear energy stability theory for the problem of convection in a porous medium when the viscosity depends on the temperature. This is, in fact, the situation which is true in real life and has many applications to geophysics. The nonlinear analysis presented here would appear to require the presence of a Brinkman term in the momentum equation, rather than just the normal form of Darcy's law.
@article{RLIN_1993_9_4_3_a8,
author = {Richardson, Lorna and Straughan, Brian},
title = {Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the {Brinkman} effect.},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {223--230},
year = {1993},
volume = {Ser. 9, 4},
number = {3},
zbl = {0801.76035},
mrnumber = {MR1250502},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_1993_9_4_3_a8/}
}
TY - JOUR AU - Richardson, Lorna AU - Straughan, Brian TI - Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect. JO - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni PY - 1993 SP - 223 EP - 230 VL - 4 IS - 3 UR - http://geodesic.mathdoc.fr/item/RLIN_1993_9_4_3_a8/ LA - en ID - RLIN_1993_9_4_3_a8 ER -
%0 Journal Article %A Richardson, Lorna %A Straughan, Brian %T Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect. %J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni %D 1993 %P 223-230 %V 4 %N 3 %U http://geodesic.mathdoc.fr/item/RLIN_1993_9_4_3_a8/ %G en %F RLIN_1993_9_4_3_a8
Richardson, Lorna; Straughan, Brian. Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect.. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 4 (1993) no. 3, pp. 223-230. http://geodesic.mathdoc.fr/item/RLIN_1993_9_4_3_a8/