Titlebook: Vibration and Coupling of Continuous Systems; Asymptotic Methods J. Sanchez Hubert,E. Sanchez Palencia Book 1989 Springer-Verlag Berlin Hei

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d of spectra, asymptotic methods and perturbation is followed by applications to linear problems where elastic structures are coupled to fluids in bounded and unbounded domains, to radiation of immersed bodies, to local vibrations, to thermal effects and many more.978-3-642-73784-8978-3-642-73782-4

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Examples of Nonstandard Vibrations and Coupling,n a natural way. The system of equations of thermoelasticity (Section 1) may be considered as the coupling of a hyperbolic system (the elastic part) and a parabolic equation (the thermal part). As a consequence, the generator of the semigroup is neither self-adjoint nor skew-adjoint and furnishes a

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Spectral Perturbation,, with emphasis on the case of holomorphic dependence, for which sharp results are given. Section 1 contains some elements of the theory of holomorphic functions such as the implicit function theorem and the Weierstrass preparation theorem, for which we give a complete proof taken from Bochner and M

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Scattering Problems Depending on a Parameter. Elastic Structure-Fluid Interaction in Unbounded Domaonsider, in particular, problems depending on a parameter . which have a different structure for . > 0 and . = 0. Specifically, for . = 0 (unperturbed problem) we have a standard problem with discrete spectrum and real eigen-frequencies, which becomes, for . > 0, a problem with continuous spectrum.