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Flutter panel equation in non cylindrical domain. (English) Zbl 1020.35014
Summary: The motion for small-amplitude of a thin elastic planel with both linear-weak and linear-strong damping are investigated in one-dimensional domain with moving boundary. Existence and uniqueness of global solutions are shown. Asymptotic behavior of energies are also established.
MSC:
35B40 Asymptotic behavior of solutions to PDEs
74H40 Long-time behavior of solutions for dynamical problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
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