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On the uniqueness of the solution of the evolution dam problem. (English) Zbl 0810.76086

The paper deals with mathematical aspects of the Darcy flow in a porous medium separating a finite number of reservoirs. The uniqueness of the solution of a free boundary problem is studied, and strong and weak formulations are considered. The paper is mathematical in nature and does not present any numerical example.

MSC:

76S05 Flows in porous media; filtration; seepage
35Q35 PDEs in connection with fluid mechanics
35R35 Free boundary problems for PDEs
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