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Publication Cover
Applicable Analysis
An International Journal
Volume 49, 1993 - Issue 3-4
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Original Articles

The propagation of the free boundary of the solution of the dam problem and related problems

José Carrillo Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid, E-28040, Spain
,
Jesus Ildefonso Díaz Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid, E-28040, Spain
,
Gianni Gilardi Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid, E-28040, Spain
,
P. Benilan Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid, E-28040, Spain
,
L. Boccardo Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid, E-28040, Spain
&
M.A. Herrero Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid, E-28040, Spain
Pages 255-276 | Published online: 02 May 2007
 
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Abstract

We study the support of the solution of the dam problem and estimate its growth from above and from below for small t . We derive sufficient conditions in order that it grows with finite or infinite speed. Moreover a monotonicity result for the mushy region is proved.

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