On the onset of convection in porous media: temperature depending viscosity

F. Capone

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 1, page 143-156
  • ISSN: 0392-4041

How to cite

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Capone, F.. "On the onset of convection in porous media: temperature depending viscosity." Bollettino dell'Unione Matematica Italiana 4-B.1 (2001): 143-156. <http://eudml.org/doc/195117>.

@article{Capone2001,
author = {Capone, F.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {143-156},
publisher = {Unione Matematica Italiana},
title = {On the onset of convection in porous media: temperature depending viscosity},
url = {http://eudml.org/doc/195117},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Capone, F.
TI - On the onset of convection in porous media: temperature depending viscosity
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/2//
PB - Unione Matematica Italiana
VL - 4-B
IS - 1
SP - 143
EP - 156
LA - eng
UR - http://eudml.org/doc/195117
ER -

References

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  1. BARENBLATT, G. I.- ENTOV, V. M.- RYZHIK, V. M.: Theory of fluid flows through natural rocks, Kluwer Academic Publishers (1990). Zbl0769.76001
  2. CAPONE, F.- GENTILE, M., Nonlinear stability analysis of convection for fluids with exponentially temperature-dependent viscosity, Acta Mechanica, 107 (1994), 53. Zbl0846.76033MR1299152
  3. CAPONE, F.- GENTILE, M., Nonlinear stability analysis of the Bénard problem for fluids with a convex nonincreasing temperature depending viscosity, Continuum Mech. Thermodyn., 7 (1995), 297-309. Zbl0830.76034MR1349424
  4. CAPONE, F.- GENTILE, M., On the influence of the Forchheimer term in convective instabilities in porous media for fluids with temperature depending viscosity, Rend. Circolo Mat. Palermo, Serie II, Suppl. 57 (1998), 91-95. Zbl0962.76524MR1708498
  5. CAPONE, F.- RIONERO, S., Temperature dependent viscosity and its influence on the onset of convetion in a porous medium, Rend. Acc. Sc. fis. mat. Napoli, vol. LXVI (1999), 159-172. Zbl0972.76033MR1771535
  6. CHANDRASEKHAR, S., Hydrodynamic and hydromagnetic stability, New York, Dover (1961). Zbl0142.44103MR128226
  7. FLAVIN, J.- RIONERO, S., Qualitative estimates for partial differential equations. An introduction, Boca Raton, Florida: CRC Press (1996). Zbl0862.35001MR1396085
  8. JOSEPH, D. D.- NIELD, D. A.- PAPANICOLAU, G., Nonlinear equation governing flow in a saturated porous medium, Water Resources Res., 18, 1049-1052 and 19 (1982), 591. 
  9. JOSEPH, D. D., Stability of fluid motions I-II, Springer Tracts in Natural Philosophy, vols. 27-28 (1976). Zbl0345.76022MR449147
  10. NIELD, D. A.- BEJAN, A., Convection in porous media, Berlin Heidelberg New York: Springer-Verlag (1992). Zbl0924.76001MR1656781
  11. QIN, Y.- CHADAM, J., Nonlinear convective stability in a porous medium, Studies In Appl. Math. (1996), 273-288. Zbl0853.76025MR1378863
  12. RIONERO, S., Metodi variazionali per la stabilità asintotica in media in magnetoidrodinamica, Ann. Mat. Pura Appl., 78 (1968), 339-364. Zbl0182.29402MR229424
  13. STRAUGHAN, B., The energy method, stability and nonlinear convection, Berlin Heidelberg New York Tokyo: Springer (1992). Zbl0743.76006MR1140924

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