KURAMOTO Y, TSUZUKI T. On the Formation of Dissipative Structures in Reaction-Diffusion Systems: Reductive Perturbation Approach[J]. Progress of Theoretical Physics, 1975, 54(3): 687-699. doi: 10.1143/PTP.54.687
MICHELSON D. Steady Solutions of the Kuramoto-Sivashinsky Equation[J]. Physica D: Nonlinear Phenomena, 1986, 19(1): 89-111. doi: 10.1016/0167-2789(86)90055-2
HE J, GRANERO-BELINCHÓN R. On the Dynamics of 3D Electrified Falling Films[J]. Discrete & Continuous Dynamical Systems-A, 2021, 41(9): 1553-5231.
AMBROSE D M, HADADIFARD F, DOUGLAS WRIGHT J. Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts[J]. SIAM Journal on Applied Dynamical Systems, 2021, 20(4): 2261-2294. doi: 10.1137/20M1370793
LI Y R, YANG S, ZHANG Q H. Odd Random Attractors for Stochastic Non-Autonomous Kuramoto-Sivashinsky Equations without Dissipation[J]. Electronic Research Archive, 2020, 28(4): 1529-1544. doi: 10.3934/era.2020080
GAO P. Averaging Principle for Stochastic Kuramoto-Sivashinsky Equation with a Fast Oscillation[J]. Discrete & Continuous Dynamical Systens-A, 2018, 38(11): 5649-5684.
LIN L, LI M. The Asymptotic Behavior of the Stochastic Coupled Kuramoto-Sivashinsky and Ginzburg-Landau Equations[J]. Boundary Value Problems, 2020, 2020(1): 1-14. doi: 10.1186/s13661-019-01311-5
李勇, 张强恒, 李扬荣. 非自治随机时滞广义Kuramoto-Sivashinsky方程的拉回随机吸引子[J]. 西南大学学报(自然科学版), 2021, 43(2): 95-102.
乔闪闪, 李扬荣. 随机Kuramoto-Sivashinsky格点方程的后向紧随机吸引子[J]. 西南师范大学学报(自然科学版), 2022, 47(8): 48-53.
GESS B, LIU W, SCHENKE A. Random Attractors for Locally Monotone Stochastic Partial Differential Equations[J]. Journal of Differential Equations, 2020, 269(4): 3414-3455. doi: 10.1016/j.jde.2020.03.002
TEMAM R. Infinite-Dimensional Dynamical Systems in Mechanics and Physics[M]. New York: Springer-Verlag, 1988.
LI Y R, YANG S. Backward Compact and Periodic Random Attractors for Non-Autonomous Sine-Gordon Equations with Multiplicative Noise[J]. Communications on Pure & Applied Analysis, 2019, 18(3): 1155-1175.
WANG R H, LI Y R. Backward Compactness and Periodicity of Random Attractors for Stochastic Wave Equations with Varying Coefficients[J]. Discrete & Continuous Dynamical Systems-B, 2019, 24(8): 4145-4167.
YANG D S. Dynamics for the Stochastic Nonlocal Kuramoto-Sivashinsky Equation[J]. Journal of Mathematical Analysis and Applications, 2007, 330(1): 550-570. doi: 10.1016/j.jmaa.2006.07.091
WANG B X. Sufficient and Necessary Criteria for Existence of Pullback Attractors for Non-Compact Random Dynamical Systems[J]. Journal of Differential Equations, 2012, 253(5): 1544-1583.