Hyperbolic relaxation of a fourth order evolution equation. (English) Zbl 1275.35046

Colucci, Renato; Chacón, Gerardo R.

Abstr. Appl. Anal. 2013, Article ID 372726, 11 p. (2013).

Summary: We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term \(\eta u_{tt}\), where \(\eta \in (0, 1]\). We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in \(H^4(I) \times \{H^2(I) \cap H^1_0(I)\}\).

MSC:

35B41

Attractors

Keywords:

one space dimension; absorbing sets

References:

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