Thesis (Sc. D.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1983. / Supervised by William D. Grant. Includes bibliographical references (leaves 201-205).

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The purpose of this research is the development of a method for studying a two-dimensional semi-linear elliptic partial differential equation in an infinite stripe with slow variations of one of the boundaries. The problem is reformulated as a boundary value problem for a semi-linear elliptic equation with a small parameter at one higher derivative (the singular perturbation parameter). The method is based on the boundary function of Tikhonov, shaped by Vasil'eva and Butuzov for a one-dimensional case. The developed method has clear parallels with the one-dimensional boundary function method. / Thesis (PhD)--University of South Australia, 2006.

The purpose of this research is the development of a method for studying a two-dimensional semi-linear elliptic partial differential equation in an infinite stripe with slow variations of one of the boundaries. The problem is reformulated as a boundary value problem for a semi-linear elliptic equation with a small parameter at one higher derivative (the singular perturbation parameter). The method is based on the boundary function of Tikhonov, shaped by Vasil?eva and Butuzov for a one-dimensional case. The developed method has clear parallels with the one-dimensional boundary function method.

Thesis (Ph.D.)--University of Western Australia, 2006.

Thesis (Ph.D.)--University of Western Australia, 2007.

Thesis (Ph. D.)--University of Washington, 1993. / Vita. Includes bibliographical references (leaves [131]-137).

Thesis (Ph.D.)--University of Delaware, 2009. / Principal faculty advisor: A.D. Kirwan, College of Earth, Ocean, & Environment. Includes bibliographical references.

Thesis (M. Sc.)--Memorial University of Newfoundland, 1997. / Bibliography: leaves 106-112.

The water in most reservoirs is density stratified with depth. This stratification leads to the inhibition of vertical movement, consequently, when water is withdrawn from the reservoir it tends to move in a jet-like layer called a withdrawal layer, towards the sink. By placing the sink at a certain depth, one is able to selectively withdrawal water from a limited range of depths and thus obtain water of a desired quality. Much work has been done in this field by considering a simplified boundary geometry, usually rectangular. However little attention has been given to the effects of accurate boundary geometry. For this thesis, five numerical experiments were conducted for the problem of a two-dimensional, viscous, incompressible, slightly-stratified flow towards a sink in a triangular reservoir. / Science, Faculty of / Mathematics, Department of / Graduate