Clark, H. R.; Ferrel, J. L.; Clark, M. R. Flutter panel equation in non cylindrical domain. (English) Zbl 1020.35014 Southwest J. Pure Appl. Math. 2003, No. 1, 10-32 (2003). 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 Keywords:one-dimensional domain; linear-weak and linear-strong damping; existence of solutions; uniqueness PDF BibTeX XML Cite \textit{H. R. Clark} et al., Southwest J. Pure Appl. Math. 2003, No. 1, 10--32 (2003; Zbl 1020.35014) Full Text: EuDML EMIS OpenURL