首页|奇异扰动的分数阶随机反应扩散方程的吸引子

奇异扰动的分数阶随机反应扩散方程的吸引子

扫码查看
研究了定义在光滑有界域 O⊂Rn 上、带乘性噪声和奇异扰动的分数阶随机反应扩散方程在L2(O)上的随机拉回吸引子的存在性.由于奇异扰动和分数阶算子对系统的作用,无法用正则估计得到系统的紧性问题,因此利用 Aubin紧性定理获得了由方程生成的随机动力系统的渐近紧性.
Attractors for Fractional-order Stochastic Reaction-diffusion Equations with Multiplicative Noise and Singular Perturbation
The existence of random pullback attractors on L2(O)for fractional-order stochastic reac-tion-diffusion equations with multiplicative noise and singular perturbations defined over a smooth bounded domain O⊂Rn was investigated.Due to the effects of singular perturbations and fractional operators on the system,it was not possible to obtain the compactness of the system using regular estimation.Therefore,the Aubin compactness theorem was used to obtain the asymptotic compactness of the stochastic dynamical system generated by the equation.

asymptotic compactnessD-pullback attractorsingular perturbationfractional order op-erator

付忠月、赵文强

展开 >

重庆工商大学 数学与统计学院,重庆 400067

渐近紧性 D-拉回吸引子 奇异扰动 分数阶算子

国家自然科学基金重庆市自然科学基金

11871122cstc2019jcyjmsxmX0115

2024

唐山师范学院学报
唐山师范学院

唐山师范学院学报

影响因子:0.204
ISSN:1009-9115
年,卷(期):2024.46(3)
  • 2