Periodic behaviour for the evolutionary dam problem and related free boundary problems Evolutionary dam problem
- 1 January 1986
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 11 (12) , 1297-1377
- https://doi.org/10.1080/03605308608820466
Abstract
The time dependent dam problem describing the seepage of a compressible or incompressible fluid in a porous dam is studied. We prove existence of solutions in a suitable weak sense, and uniqueness for rectangular dams. Existence or periodic solutions is established and questions ofstability and periodic behavior for large time are studied.Keywords
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