Abstract: We study the uniform stability of a coupled system of hyperbolic/parabolic partial differential equations (PDEs) with nonlinear internal dissipation. We analyze both the case of distributed damping on the entire domain, and the case of damping with localised support. In the corresponding stability results, decay rates of weak solutions to the PDE system under consideration are described via the solutions to appropriate nonlinear ordinary differential equations.

Uniform stability of a coupled system of hyperbolic/parabolic PDEs with internal dissipation / F. Bucci. - STAMPA. - (2003), pp. 57-68.

Uniform stability of a coupled system of hyperbolic/parabolic PDEs with internal dissipation

BUCCI, FRANCESCA
2003

Abstract

Abstract: We study the uniform stability of a coupled system of hyperbolic/parabolic partial differential equations (PDEs) with nonlinear internal dissipation. We analyze both the case of distributed damping on the entire domain, and the case of damping with localised support. In the corresponding stability results, decay rates of weak solutions to the PDE system under consideration are described via the solutions to appropriate nonlinear ordinary differential equations.
9781402074394
Analysis and Optimization of Differential Systems
57
68
F. Bucci
File in questo prodotto:
File Dimensione Formato  
2003-kluwer_uniformstability.pdf

Accesso chiuso

Tipologia: Altro
Licenza: DRM non definito
Dimensione 1.82 MB
Formato Adobe PDF
1.82 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/7346
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact