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J-GLOBAL ID：202002245167928282   Reference number：20A0500904

Representation of Manifolds for the Stochastic Swift-Hohenberg Equation with Multiplicative Noise

乗法的雑音を持つ確率的Swift-Hohenberg方程式に対する多様体の表現【JST・京大機械翻訳】

Author (3)： Guo Yanfeng (School of Science, Guangxi University of Science and Technology, Liuzhou, Guangxi, China545006,) ,  Guo Yanfeng (School of Mathematics and Physics, China University of Geosciences Wuhan, Wuhan, Hubei, China430074,) ,  Li Donglong (School of Science, Guangxi University of Science and Technology, Liuzhou, Guangxi, China545006,)
Material： Advances in Mathematical Physics (Web)
Volume： 2020  Page： Null  Publication year： 2020 
JST Material Number： U7659A  ISSN： 1687-9120  Document type： Article
Article type： 原著論文  Country of issue： United Kingdom (GBR)  Language： ENGLISH (EN)

Abstract/Point： Representation of approximatio...

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Thesaurus term： *noise(signal) ,  parameterization ,  *multiplication(algebra) ,  *manifold(mathematics) ,  approximation method ,  manifold(tube)

JST classification (1)： Digital filter  (NC04022Z)

Reference (19)：

• D. Blömker, M. Hairer, G. A. Pavliotis, Stochastic Swift-Hohenberg Equation near a Change of Stability, 2007.
• D. Blömker, W. Wang, "Qualitative properties of local random invariant manifolds for SPDEs with quadratic nonlinearity," Journal of Dynamics and Differential Equations, vol. 22, no. 4, pp. 677-695, 2010.
• D. Blomker, Amplitude Equations for Stochastic Partial Differential Equations. Vol.3 of Interdisciplinary Mathematical Sciences, World Scientific Publishing, Singapore, 2007.
• G. Chen, J. Duan, J. Zhang, "Geometric shape of invariant manifolds for a class of stochastic partial differential equations," Journal of Mathematical Physics, vol. 52, no. 7, pp. 072702, 2011.
• M. D. Chekroun, H. H. Liu, S. H. Wang, "Non-Markovian reduced systems for stochastic partial differential equations: the additive noise case," https://arxiv.org/abs/1311.3069v1.

Terms in the title (6)： 乗法 ,  雑音 ,  確率 ,  方程式 ,  多様体 ,  表現