首页|Random Exponential Attractor for Stochastic Non-autonomous Suspension Bridge Equation with Linear Multiplicative White Noise
Random Exponential Attractor for Stochastic Non-autonomous Suspension Bridge Equation with Linear Multiplicative White Noise
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In this paper,we mainly consider the long-time behavior of stochastic non-autonomous suspension bridge equation by linear multiplicative white noise with small coefficient.First step,the well-posedness for the cocycle associated with the considered system is established.Second step,the existence of random attractor for the system is investigated.Third step,the upper semi-continuity of random attractor is also provided when the coefficient of random term approaches zero.Fourth step,we prove the regularity of random attractor in a higher regular space by the"iteration"method.Finally,we give the existence of a random exponential attractor for the considered system,which implies the finiteness of fractal dimension of random attractor.