Exponential attractors for semilinear wave equations with damping

• Autorzy: Albert Milani
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1992
• Tom: 27
• Numer: 2
• Strony: 327-335

Daty

wydano

1992

Twórcy

autor

Albert Milani

• Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, Wisconsin 53201, U.S.A.

Bibliografia

• [1] A. V. Babin and M. I. Vishik, Attractors of Evolution Equations, Nauka, Moscow 1989 (in Russian).
• [2] A. Eden, On Burger's original mathematical model of turbulence, preprint.
• [3] A. Eden, C. Foiaş, B. Nicolaenko et R. Temam, Ensembles inertiels pour des équations d'évolution dissipatives, C. R. Acad. Sci. Paris 310 (1990), 559-562.
• [4] A. Eden and A. Milani, On the convergence of attractors and exponential attractors for singularly perturbed hyperbolic equations, preprint, 1990.
• [5] A. Eden, A. Milani and B. Nicolaenko, Finite dimensional exponential attractors for semilinear wave equations with damping, to appear.
• [6] J. Hale, Asymptotic Behavior of Dissipative Systems, Math. Surveys and Monographs 25, Amer. Math. Soc., Providence, R.I., 1988.
• [7] X. Mora and J. Solà-Morales, Existence and non-existence of finite-dimensional globally attracting invariant manifolds in semilinear damped wave equations, in: Dynamics of Infinite Dimensional Systems, Springer, New York 1987, 187-210.
• [8] R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer, New York 1988.