Difference between revisions of "Template:Shallow depth one dimension"

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subject to the boundary conditions
 
subject to the boundary conditions
 
<center><math>
 
<center><math>
−
\zeta_{t=0} = \zeta_0\,\,\,{\rm and}\,\,\,
+
\zeta_{t=0} = \zeta_0(x)\,\,\,{\rm and}\,\,\,
−
\partial_t\zeta_{t=0} = \partial_t\zeta_0
+
\partial_t\zeta_{t=0} = \partial_t\zeta_0(x)
 
</math></center>
 
</math></center>

Revision as of 01:27, 17 December 2008

[math]\displaystyle{ \partial_t^2 \zeta = \partial_x \left(h(x) \partial_x \zeta \right). }[/math]

subject to the boundary conditions

[math]\displaystyle{ \zeta_{t=0} = \zeta_0(x)\,\,\,{\rm and}\,\,\, \partial_t\zeta_{t=0} = \partial_t\zeta_0(x) }[/math]
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