الفهرس 
AbstractOnly 14 pages are availabe for public view
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Abstract
Comparison theorems based on domain monotonicity concept
of convex boundaries concerning lower and upper bounds for
the frequency have been obtained to It is the purpose of this thesis to study the standing
gravity waves of small amplitude on the free surface of an
inviscid, incompressible, homogeneous liquid filling to a
uniform depth, vertical side walls basins of pentagonal,
heptagonal and octogonaZ bases. It is required to determine in a reliable manner the fundamental frequency of natural
modes of liquid oscillations in these three basins. This has
been determined by transforming first to a complex domain and then mapping the domain Dn representing the basin in
the Z-plane conformaNy onto the unit disk in the -plane.
This conformal mapping reduces the field equations to a two
dimensional nonseparable generalized Helmholtz equation
associated with Neumann boundary condition on a circle. The
required mapping function can be obtained using the well
known schwarz-christoffel transformation. Getting an
exact solution of the resultant equation is hardly possible,
check the calculated
frequencies.