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.

stochastic non-autonomous suspension bridge equationmultiplicative white noiserandom attractorfractal dimensionrandom exponential attractor

Ling XU、Runjie LIU、Xue BAI

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College of Mathematics and Statistics,Northwest Normal University,Gansu 730070,P.R.China

国家自然科学基金国家自然科学基金University Innovation Project of Gansu Province

11961059121015022023B-062

2024

数学研究及应用
大连理工大学

数学研究及应用

影响因子:0.094
ISSN:2095-2651
年,卷(期):2024.44(1)
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