×

The support of the solution in the dam problem. (English) Zbl 0793.76091

Chadam, John M. (ed.) et al., Free boundary problems in fluid flow with applications. Proceedings of the international colloquium ”Free boundary problems: theory and applications”, held in Montreal, Canada, June 13 - June 22, 1990. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 282, 151-156 (1993).
The author presents some of the results of an article in colaboration with J. Carrillo and the reviewer [Appl. Anal. 49, No. 3-4, 255-276 (1993)] concerning the support of the solution in the evolutionary dam problem. It is proved that the saturated region grows with finite speed, and that a waiting time may occur in the propagation of the mushy region.
For the entire collection see [Zbl 0782.00056].
Reviewer: J.I.Diaz (Madrid)

MSC:

76S05 Flows in porous media; filtration; seepage
35Q35 PDEs in connection with fluid mechanics
PDFBibTeX XMLCite