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Composite Wave–Plate Systems

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Von Karman Evolution Equations

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Abstract

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.

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Author information

Authors and Affiliations

  1. Department of Mechanics & Mathematics, Kharkov National University, 61077, Kharkov, Ukraine

    Igor Chueshov

  2. Department of Mathematics, University of Virginia, Charlottesville, Virginia, 22904, USA

    Irena Lasiecka

Authors
  1. Igor Chueshov
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  2. Irena Lasiecka
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Corresponding author

Correspondence to Igor Chueshov .

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Chueshov, I., Lasiecka, I. (2010). Composite Wave–Plate Systems. In: Von Karman Evolution Equations. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-87712-9_12

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