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.
Research supported by the Italian Ministero dell’Istruzione, dell’Università e della Ricerca.
The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-0-387-35690-7_44
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Bucci, F. (2003). Uniform Stability of a Coupled System of Hyperbolic/Parabolic PDE’s with Internal Dissipation. In: Barbu, V., Lasiecka, I., Tiba, D., Varsan, C. (eds) Analysis and Optimization of Differential Systems. SEC 2002. IFIP — The International Federation for Information Processing, vol 121. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35690-7_7
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DOI: https://doi.org/10.1007/978-0-387-35690-7_7
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