Attractors of Stochastic Wave Equations With Nonlinear-Damping and Dynamic Boundary Conditions

YANG Mo; FU Na

doi:10.21656/1000-0887.380254

Volume 39 Issue 9

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YANG Mo, FU Na. Attractors of Stochastic Wave Equations With Nonlinear-Damping and Dynamic Boundary Conditions[J]. Applied Mathematics and Mechanics, 2018, 39(9): 1068-1080. doi: 10.21656/1000-0887.380254

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Attractors of Stochastic Wave Equations With Nonlinear-Damping and Dynamic Boundary Conditions

doi: 10.21656/1000-0887.380254

YANG Mo,
FU Na

School of Mathematics, Southwest Jiaotong University, Chengdu 610031, P.R.China

Funds: The National Natural Science Foundation of China(71273214)

Received Date: 2017-09-08
Rev Recd Date: 2017-11-14
Publish Date: 2018-09-15

Abstract

Abstract

A class of wave equations with dynamic boundary conditions were studied. Through suitable decomposition, the existence of the stochastic attractor was proved. The decomposition shows that the point (or solution) of the attractor satisfies some stationary boundary condition. Finally, the attractor also exists in the stochastic dynamic system determined by the stochastic wave equation with the static boundary condition developed in decomposition.
- dynamic boundary condition,
- wave equation,
- stochastic attractor

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References(14)

References

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