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The biharmonic equation |
Comment out the biharmonic stuff - its wrong and I will fix it |
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:<math> \alpha^2=\left(\kappa+\frac{4}{3}\mu\right)/\rho \qquad \beta^2=\mu/\rho </math>
are the [[eigenvalue]]s of <math>A[\hat{\mathbf{k}}]</math> with [[eigenvector]]s <math>\hat{\mathbf{u}}</math> parallel and orthogonal to the propagation direction <math>\hat{\mathbf{k}}</math>, respectively. In the seismological literature, the corresponding plane waves are called P-waves and S-waves (see [[Seismic wave]]).
<!--- this is wrong - needs to be fixed
== The biharmonic equation ==
Line 81 ⟶ 83:
:<math>\alpha^2\partial_i\partial_i\partial_j\partial_ju_k=-f_k/\rho\,</math>
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== References ==
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