Stochastic inertial manifolds for damped wave equations ∗

@inproceedings{Liu2008StochasticIM,
  title={Stochastic inertial manifolds for damped wave equations ∗},
  author={Zhenxin Liu},
  year={2008}
}
In this paper, stochastic inertial manifold for damped wave equations subjected to additive white noise is constructed by the Lyapunov-Perron method. It is proved that when the intensity of noise tends to zero the stochastic inertial manifold converges to its deterministic counterpart almost surely. 

From This Paper

Topics from this paper.
9 Citations
34 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 34 references

Smooth stable and unstable manifolds for stochastic evolutionary equations

  • J. Duan, K. Lu, B. Schmalfuss
  • J. Dynam. Differential Equations 16
  • 2004
Highly Influential
4 Excerpts

Finite-dimensional attracting invariant manifolds for damped semilinear wave equations

  • X. Mora
  • Contributions to nonlinear partial differential…
  • 1985
Highly Influential
3 Excerpts

Exponentially stable stationary solutions for stochastic evolution equations and their perturbation

  • T. Caraballo, P. E. Kloeden, B. Schmalfuss
  • Appl. Math. Optim. 50
  • 2004
1 Excerpt

Inertial manifolds and forms for stochastically perturbed retarded semilinear parabolic equations

  • I. D. Chueshov, M. Scheutzow
  • J. Dynam. Differential Equations 13
  • 2001
1 Excerpt

Global random attractors are uniquely determined by attracting deterministic compact sets

  • H. Crauel
  • Ann. Mat. Pura Appl. 176
  • 1999

Random attractors

  • H. Crauel, A. Debussche, F. Flandoli
  • J. Dynam. Differential Equations 9
  • 1997

Construction of stochastic inertial manifolds using backward integration

  • G. Da Prato, A. Debussche
  • Stochast. Stoch. Rep. 59
  • 1996
1 Excerpt

Similar Papers

Loading similar papers…