Exponential attractors for semilinear wave equations with damping

Albert Milani

Banach Center Publications (1992)

  • Volume: 27, Issue: 2, page 327-335
  • ISSN: 0137-6934

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Milani, Albert. "Exponential attractors for semilinear wave equations with damping." Banach Center Publications 27.2 (1992): 327-335. <http://eudml.org/doc/262660>.

@article{Milani1992,
author = {Milani, Albert},
journal = {Banach Center Publications},
keywords = {semilinear damped wave equation; exponential attractor},
language = {eng},
number = {2},
pages = {327-335},
title = {Exponential attractors for semilinear wave equations with damping},
url = {http://eudml.org/doc/262660},
volume = {27},
year = {1992},
}

TY - JOUR
AU - Milani, Albert
TI - Exponential attractors for semilinear wave equations with damping
JO - Banach Center Publications
PY - 1992
VL - 27
IS - 2
SP - 327
EP - 335
LA - eng
KW - semilinear damped wave equation; exponential attractor
UR - http://eudml.org/doc/262660
ER -

References

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  1. [1] A. V. Babin and M. I. Vishik, Attractors of Evolution Equations, Nauka, Moscow 1989 (in Russian). Zbl0804.58003
  2. [2] A. Eden, On Burger's original mathematical model of turbulence, preprint. Zbl0753.35076
  3. [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. Zbl0707.35017
  4. [4] A. Eden and A. Milani, On the convergence of attractors and exponential attractors for singularly perturbed hyperbolic equations, preprint, 1990. Zbl0866.35015
  5. [5] A. Eden, A. Milani and B. Nicolaenko, Finite dimensional exponential attractors for semilinear wave equations with damping, to appear. Zbl0796.35143
  6. [6] J. Hale, Asymptotic Behavior of Dissipative Systems, Math. Surveys and Monographs 25, Amer. Math. Soc., Providence, R.I., 1988. Zbl0642.58013
  7. [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. Zbl0642.35062
  8. [8] R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer, New York 1988. 

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