Dynamics and invariant manifolds for a nonlocal stochastic Swift-Hohenberg equation
Author:
Funder
NSFC
Guangxi NSF
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Link
http://link.springer.com/content/pdf/10.1186/s13660-015-0889-8.pdf
Reference27 articles.
1. Swift, J, Hohenberg, PC: Hydrodynamic fluctuations at the convective instability. Phys. Rev. A 15, 319-328 (1977)
2. Eckmann, JP, Wayne, CE: Propagating fronts and the center manifold theorem. Commun. Math. Phys. 136, 285-307 (1991)
3. Hilali, MF, Metens, S, Borckmans, P, Dewel, G: Pattern selection in the generalized Swift-Hohenberg equation. Phys. Rev. E 51, 2046-2052 (1995)
4. Mielke, A, Schneider, G: Attractors for modulation equations on unbounded domains: existence and comparison. Nonlinearity 8, 734-768 (1995)
5. Hsieh, DY, Tang, AQ, Wang, XP: On hydrodynamics instabilities, chaos, and phase transition. Acta Mech. Sin. 12, 1-14 (1996)
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1. Invariant measures and statistical solutions for a nonautonomous nonlocal Swift–Hohenberg equation;Dynamical Systems;2022-01-02
2. Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift–Hohenberg equation with multiplicative noise;Journal of Mathematical Physics;2021-11-01
3. Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation;Complexity;2020-09-16
4. Dynamical behaviors of stochastic local Swift-Hohenberg equation on unbounded domain;Journal of Inequalities and Applications;2016-09-20
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