Invariant measures of homeomorphisms and applications to the stability of an hyperbolic PDE

Aassila, Mohammed

In: Bulletin of the Brazilian Mathematical Society, New Series, 2004, vol. 35, no. 1, p. 83-122

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    Abstract.: Using the invariant measures of homeomorphisms, we study in this paper the asymptotic behavior of the energy E(t) of an hyperbolic partial differential equation in amoving domain. The behavior of E(t) as t ⊸ ∞ depends essentially on the number theoretical characteristics of the rotation number of the homeomorphism