Composite Wave–Plate Systems

  • Igor Chueshov
  • Irena Lasiecka
Part of the Springer Monographs in Mathematics book series (SMM)


The aim of this chapter is to discuss long-time behavior of composite wave–plate models. These include:

• Structural acoustic model with isothermal von Karman plate.

• Structural acoustic model with thermoelastic Karman plate.

• Flow-structure interaction.

We recall that these models involve coupling between the wave equation and plate equation. The coupling occurs on the interface separating two media: acoustic field and the structure (wall). The existence and uniqueness theory associated with these models has been already developed in Chapter 6. The present chapter is devoted to long-time dynamics and global attractors associated with the models.


Global Attractor Plate System Plate Equation Airy Stress Function Composite Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media 2010

Authors and Affiliations

  1. 1.Department of Mechanics & MathematicsKharkov National UniversityKharkovUkraine
  2. 2.Department of MathematicsUniversity of VirginiaCharlottesvilleUSA

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