 Solution

ID: past-exam-of-the-fluids-and-waves-course-of-the-university-of-oxford/2023/3/b/i/solution

ϕ

with

(u, w) = (ϕ_{x}, ϕ_{z})

u_{x} + w_{z} = 0

, hence the interior Laplace equation is

ϕ_{xx} + ϕ_{zz} = 0, - h < z < η (x, t) .

The ice supplies a boundary load through its bending stiffness; it does not alter this interior consequence of mass conservation.

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