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Singular integral equations applied to free surface seepage from non‐linear channels
Author(s) -
Oestreich Dieter
Publication year - 1990
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670120304
Subject(s) - mathematics , homogeneous , mathematical analysis , integral equation , singular integral , free surface , singular solution , surface (topology) , geometry , mechanics , combinatorics , physics
The problem of two‐dimensional seepage from a non‐linear channel through a homogeneous medium underlain at a finite depth by a drain will be considered. A new approach is given, transforming the seepage problem to a non‐linear singular integral equation for which the unique existence of the solution is proved. The free boundaries of the seepage region can be described explicitly.