Uniform stability in structural acoustic systems with thermal effects and nonlinear boundary damping

• Autorzy: Lasiecka I. , Lebiedzik C.
• Języki publikacji: EN

Abstrakty

EN

The stabilization problem for a structural acoustic model is considered. The model under consideration is that of acoustic cavity (wave equation) coupled at the interface with a flexible wall (plate equation) which accounts for thermal effects. It is shown that frictional, nonlinear damping applied at the boundary of the acoustic chamber provides the uniform decay rates for the energy function of the overall structure. The main novelty of this result, with respect to the literature, is that the uniform stability for the model is established without assuming any mechanical damping the wall.

Słowa kluczowe

EN

nonlinear boundary damping; structural acoustic model; thermoelastic plates; uniform stabilization

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1999
• Tom: Vol. 28, no 3
• Strony: 557--581
• Opis fizyczny: Bibliogr. 32 poz.,

Twórcy

autor

Lasiecka I.

autor

Lebiedzik C.

• Department of Mathematics, Kerchof Hall, University of Virginia, Charlottesville. Virginia 22901,