Difference between revisions of "Template:Boundary value problem for a fixed body"

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Revision as of 07:25, 24 August 2008

The Standard Linear Wave Scattering Problem in Finite Depth for a fixed body is

[math]\displaystyle{ \nabla^{2}\phi=0, \, -h\lt z\lt 0,\,\,\,\mathbf{x}\notin \Omega }[/math]
[math]\displaystyle{ \frac{\partial\phi}{\partial z}=0, \, z=-h, }[/math]
[math]\displaystyle{ \frac{\partial\phi}{\partial z} = \alpha \phi,\,z=0,\,\,\mathbf{x}\notin\Omega, }[/math]
[math]\displaystyle{ \frac{\partial\phi}{\partial z} = 0, \, z\in\partial\Omega. }[/math]