Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect.
Richardson, Lorna ; Straughan, Brian
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 4 (1993), p. 223-230 / Harvested from Biblioteca Digitale Italiana di Matematica
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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.

Si considera il problema della convezione naturale in un mezzo poroso tenendo conto - com'è nella realtà geofìsica - delle variazioni della viscosità con la temperatura. Si stabiliscono condizioni che assicurano la stabilità non lineare nella norma di L2 (stabilità in energia) nell'ambito del modello di Brinkman.

Publié le : 1993-09-01
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     author = {Lorna Richardson and Brian Straughan},
     title = {Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect.},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {4},
     year = {1993},
     pages = {223-230},
     zbl = {0801.76035},
     mrnumber = {1250502},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1993_9_4_3_223_0}
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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. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 4 (1993) pp. 223-230. http://gdmltest.u-ga.fr/item/RLIN_1993_9_4_3_223_0/

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