Qualitative aspects of solutions in resonators

• Autorzy: Quintanilla R. , Racke R.
• Języki publikacji: EN

Abstrakty

EN

We consider the system of micro-beam resonators in the thermoelastic theory of Lord and Shulmann. First, we prove the uniqueness and instability of solutions when the sign of a parameter is not prescribed. Existence of solutions and uniform bounds for the real part of the spectrum have been found. We finish the paper by proving the impossibility of the time localization of solutions.

Słowa kluczowe

EN

hyperbolic model in thermoelasticity; well-posedness; exponential stability

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2008
• Tom: Vol. 60, nr 4
• Strony: 345--360
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Quintanilla R.

autor

Racke R.

• Department of Applied Mathematics II UPC Terrassa, Colom 11, 08222 Terrassa, Spain,

Bibliografia

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