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.
2003
9781402074394
Analysis and Optimization of Differential Systems
57
68
F. Bucci
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/7346
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