Template:Standard linear wave scattering equations without body condition: Difference between revisions

From WikiWaves
Jump to navigationJump to search
← Older editNewer edit →
mNo edit summary
No edit summary
Line 6: Line 6:
</math></center>
</math></center>
<center><math>
<center><math>
  \partial_n \phi  = \omega^2 \phi,\,z=0,\,\,\mathbf{x} \in F,
  \partial_n \phi  =\mathrm{i} \omega \zeta\,z=0,\,\,\mathbf{x} \in F,
</math></center>
</math></center>
The latter two can be combined as
<center><math>
\mathrm{i} \omega \phi  = -\zeta,\,z=0,\,\,\mathbf{x} \in F,
</math></center>
where <math>\alpha = \omega^2 </math>

Revision as of 10:36, 20 August 2009

[math]\displaystyle{ \Delta\phi=0, \, -h\lt z\lt 0,\,\,\,\mathbf{x} \in \Omega }[/math]
[math]\displaystyle{ \partial_n\phi = 0, \, z=-h, }[/math]
[math]\displaystyle{ \partial_n \phi =\mathrm{i} \omega \zeta\,z=0,\,\,\mathbf{x} \in F, }[/math]

The latter two can be combined as

[math]\displaystyle{ \mathrm{i} \omega \phi = -\zeta,\,z=0,\,\,\mathbf{x} \in F, }[/math]

where [math]\displaystyle{ \alpha = \omega^2 }[/math]

Retrieved from "https://www.wikiwaves.org/index.php?title=Template:Standard_linear_wave_scattering_equations_without_body_condition&oldid=9665"