We analyze the approximation of a vibro-acoustic eigenvalue problem for an elastic body which is submerged in a compressible inviscid fluid in ℝ3. As a model, the time-harmonic elastodynamic and the ...

This is a preview. Log in through your library . Abstract The bifurcation and instability behavior of a nonlinear autonomous system in the vicinity of a compound critical point is studied in detail.

Since Lord Rayleigh conjectured that the disk should minimize the first eigenvalue of the Laplace-Dirichlet operator among all shapes of equal area more than a century ago, extremal eigenvalue ...