We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on the displacement. We prove the existence of a regular connected global attractor of finite fractal dimension for the associated dynamical system, as well as the existence of an exponential attractor.

A one-dimensional wave equation with nonlinear damping / Gatti, Stefania; Pata, V.. - In: GLASGOW MATHEMATICAL JOURNAL. - ISSN 0017-0895. - STAMPA. - 48:3(2006), pp. 419-430. [10.1017/S0017089506003156]

A one-dimensional wave equation with nonlinear damping

GATTI, Stefania;
2006

Abstract

We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on the displacement. We prove the existence of a regular connected global attractor of finite fractal dimension for the associated dynamical system, as well as the existence of an exponential attractor.
2006
48
3
419
430
A one-dimensional wave equation with nonlinear damping / Gatti, Stefania; Pata, V.. - In: GLASGOW MATHEMATICAL JOURNAL. - ISSN 0017-0895. - STAMPA. - 48:3(2006), pp. 419-430. [10.1017/S0017089506003156]
Gatti, Stefania; Pata, V.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/453686
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