Fractal dimension of attractors for a stochastic wave equation with nonlinear damping and white noise. (English) Zbl 1115.37066
Summary: We investigate the existence of compact random attractors and their fractal dimension for the random dynamical system associated with a stochastic wave equation with nonlinear damping and white noise.
MSC:
| 37L55 | Infinite-dimensional random dynamical systems; stochastic equations |
| 37L30 | Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems |
Keywords:
random attractorsReferences:
| [1] | DOI: 10.1007/BF02219225 · Zbl 0884.58064 · doi:10.1007/BF02219225 |
| [2] | DOI: 10.2140/pjm.2004.216.63 · Zbl 1065.37057 · doi:10.2140/pjm.2004.216.63 |
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