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Phase Space Analysis for Plate Models

In: Methods for Partial Differential Equations

Author

Listed:
  • Marcelo R. Ebert

    (University of São Paulo, Department of Computing and Mathematics)

  • Michael Reissig

    (TU Bergakademie Freiberg, Institute of Applied Analysis)

Abstract

This chapter is devoted to the application of phase space analysis to plate models. Our main focus is on the discussion of different damped plate models. On the one hand we study classical damped plate models with and without additional regularity of the data and derive estimates, even for the energies of higher order. On the other hand, we study a viscoelastic damped plate model and show a different influence of this special case of structural damping in comparison with the influence of a classical damping term on qualitative properties of solutions. Finally, we discuss the interaction of several terms in plate models such as mass and classical damping or mass and viscoelastic damping.

Suggested Citation

  • Marcelo R. Ebert & Michael Reissig, 2018. "Phase Space Analysis for Plate Models," Springer Books, in: Methods for Partial Differential Equations, chapter 0, pages 227-239, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-66456-9_15
    DOI: 10.1007/978-3-319-66456-9_15
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