Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
@article{RLIN_2001_9_12_1_a5, author = {Fasano, Antonio and Pezza, Laura}, title = {On a temperature-dependent {Hele-Shaw} flow in one dimension}, journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni}, pages = {57--67}, publisher = {mathdoc}, volume = {Ser. 9, 12}, number = {1}, year = {2001}, zbl = {1170.76326}, mrnumber = {1431414}, language = {en}, url = {http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_1_a5/} }
TY - JOUR AU - Fasano, Antonio AU - Pezza, Laura TI - On a temperature-dependent Hele-Shaw flow in one dimension JO - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni PY - 2001 SP - 57 EP - 67 VL - 12 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_1_a5/ LA - en ID - RLIN_2001_9_12_1_a5 ER -
%0 Journal Article %A Fasano, Antonio %A Pezza, Laura %T On a temperature-dependent Hele-Shaw flow in one dimension %J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni %D 2001 %P 57-67 %V 12 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_1_a5/ %G en %F RLIN_2001_9_12_1_a5
Fasano, Antonio; Pezza, Laura. On a temperature-dependent Hele-Shaw flow in one dimension. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 12 (2001) no. 1, pp. 57-67. http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_1_a5/
[1] On the steady-state advancement of fingers and bubbles in a Hele-Shaw cell filled by a non-Newtonian fluid. EJAM, 8, 1997, 73-88. | MR | Zbl
- ,[2] Selection for Saffman-Taylor fingers. Phys. Rev. Lett., 56, 1986, 2036-2039.
- - - - ,[3] Weak and variational methods for free and moving boundary problems. Res. Notes Math., 59, Pitman, London 1992. | Zbl
- ,[4] Viscous flows with time dependent free boundaries in a non-planar Hele-Shaw cell. EJAM, 8, 1997, 23-36. | MR | Zbl
- ,[5] Partial Differential Equations of Parabolic Type. Prentice Hall Inc., 1964. | MR | Zbl
,[6] Unsteady filtration with a free surface. Dokl. Akad. Nauk. SSSR, 47, 1945, 246-249. | MR | Zbl
,[7] Studies on soil physics. The flow of air and water through soils. J. Agric. Sci., 4, 1911, 1-24.
- ,[8] The flow of water. Nature, vol. 58, n. 1489, 1898, 33-36. | Jbk 29.0646.01
,[9] Thermo-viscous fingering of flow in a thin gap: a model of magma flow in dikes and fissures. J. Fluid Mech., 305, 1995, 219-238. | Zbl
,[10] Complex variable methods in Hele-Shaw moving boundary problems. Euro J. Appl. Math., 3, 1992, 209-224. | DOI | MR | Zbl
,[11] Linear and Quasilinear Equations of Parabolic Type. AMS Translations of Mathematical Monographs, 23, 1968. | MR | Zbl
- - ,[12] On the motion of the oil contour. Dokl. Akad. Nauk. S.S.S.R., vol. 47, 1945, 254-257. | Zbl
,[13] Hele-Shaw flows with a free boundary produced by the injection of fluid into a narrow channel. JFM, 56, 1972, 606-618. | Zbl
,[14] Selection mechanisms and stability of fingers and bubbles in Hele-Shaw cells. IMA J. Appl. Math., 46, 1991, 137-145. | DOI | MR | Zbl
,[15] The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid. Proc. Roy. Soc., A 245, 1958, 312-329. | MR | Zbl
- ,[16] The effects of temperature-dependent viscosity on flow in a cooled channel with application to basaltic fissure eruptions. J. Fluid Mech., 305, 1995, 239-261. | Zbl
- ,[17] Stability of straining flow with surface cooling and temperature-dependent viscosity. J. Fluid Mech., 365, 1998, 369-381. | Zbl
- ,