Logos Verlag Berlin - Neuerscheinungen - MathematikNeuerscheinungen im Fachgebiet Mathematik im Logos Verlag Berlin
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Aday Celik : Non-resonant Solutions in Hyperbolic-Parabolic Systems with Periodic Forcing
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http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=5172&lng=deu&id=Thu, 08 Oct 2020 02:00:00 +0200
This thesis is a mathematical investigation of damping effects in hyperbolic systems. In the first part two models from nonlinear acoustics are studied. Existence of time-periodic solutions to the Blackstock-Crighton equation and the Kuznetsov equation are established for time-periodic data sufficiently restricted in size. This leads to the conclusion that the dissipative effects in these models are sufficient to avoid resonance.
In the second part the interaction of a viscous fluid with an elastic structure is studied. A periodic cell structure filled with a viscous fluid interacting with a deformable boundary of the cell is considered under time-periodic forcing. The motion of ...