Approximations of the solution of a stochastic Ginzburg-Landau equation

Brigitte E. Breckner; Hannelore Lisei

doi:10.24193/subbmath.2021.2.07

Approximations of the solution of a stochastic Ginzburg-Landau equation

Studia Universitatis Babes-Bolyai Matematica ◽

10.24193/subbmath.2021.2.07 ◽

2021 ◽

Vol 66 (2) ◽

pp. 307-319

Author(s):

Brigitte E. Breckner ◽

Hannelore Lisei

Keyword(s):

Error Estimates ◽

Multiplicative Noise ◽

Landau Equation ◽

Ginzburg Landau ◽

Noise Term ◽

Ginzburg Landau Equation

"This paper presents a method to approximate the solution of a stochas- tic Ginzburg-Landau equation with multiplicative noise term. Error estimates for the approximation of the solution are given."

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Dynamics of the 3D fractional Ginzburg–Landau equation with multiplicative noise on an unbounded domain

Communications in Mathematical Sciences ◽

10.4310/cms.2016.v14.n1.a11 ◽

2016 ◽

Vol 14 (1) ◽

pp. 273-295 ◽

Cited By ~ 19

Author(s):

Hong Lu ◽

Peter W. Bates ◽

Shujuan Lü ◽

Mingji Zhang

Keyword(s):

Unbounded Domain ◽

Multiplicative Noise ◽

Landau Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Large deviations for the 2-D derivative Ginzburg–Landau equation with multiplicative noise

Applied Mathematics Letters ◽

10.1016/j.aml.2019.01.036 ◽

2019 ◽

Vol 93 ◽

pp. 46-51

Author(s):

Xueke Pu ◽

Ting Huang

Keyword(s):

Large Deviations ◽

Multiplicative Noise ◽

Landau Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Random attractor of stochastic complex Ginzburg–Landau equation with multiplicative noise on unbounded domain

Stochastic Analysis and Applications ◽

10.1080/07362994.2016.1259075 ◽

2016 ◽

Vol 35 (3) ◽

pp. 409-422 ◽

Cited By ~ 2

Author(s):

Y. F. Guo ◽

D. L. Li

Keyword(s):

Unbounded Domain ◽

Multiplicative Noise ◽

Landau Equation ◽

Random Attractor ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Error estimates of the spectral collocation method for the Ginzburg–Landau equation coupled with the Benjamin–Bona–Mahony equation

Journal of Mathematical Sciences ◽

10.1007/s10958-009-9486-z ◽

2009 ◽

Vol 160 (1) ◽

pp. 84-94

Author(s):

A. Rashid

Keyword(s):

Collocation Method ◽

Error Estimates ◽

Landau Equation ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Large deviations for stochastic 3D cubic Ginzburg–Landau equation with multiplicative noise

Applied Mathematics Letters ◽

10.1016/j.aml.2015.02.014 ◽

2015 ◽

Vol 48 ◽

pp. 41-46 ◽

Cited By ~ 2

Author(s):

Lian Yang ◽

Xueke Pu

Keyword(s):

Large Deviations ◽

Multiplicative Noise ◽

Landau Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Stochastic dynamics of 2D fractional Ginzburg-Landau equation with multiplicative noise

Discrete and Continuous Dynamical Systems - Series B ◽

10.3934/dcdsb.2016.21.575 ◽

2015 ◽

Vol 21 (2) ◽

pp. 575-590 ◽

Cited By ~ 2

Author(s):

Shujuan Lü ◽

Hong Lu ◽

Zhaosheng Feng

Keyword(s):

Multiplicative Noise ◽

Stochastic Dynamics ◽

Landau Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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RANDOM ATTRACTOR FOR FRACTIONAL GINZBURG-LANDAU EQUATION WITH MULTIPLICATIVE NOISE

Taiwanese Journal of Mathematics ◽

10.11650/tjm.18.2014.3053 ◽

2014 ◽

Vol 18 (2) ◽

pp. 435-450 ◽

Cited By ~ 15

Author(s):

Hong Lu ◽

Shujuan Lü

Keyword(s):

Multiplicative Noise ◽

Landau Equation ◽

Random Attractor ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Global Solution for a Stochastic Ginzburg-Landau Equation with Multiplicative Noise

Stochastic Analysis and Applications ◽

10.1081/sap-120028020 ◽

2004 ◽

Vol 22 (1) ◽

pp. 1-18 ◽

Cited By ~ 7

Author(s):

Marc Barton-Smith

Keyword(s):

Global Solution ◽

Multiplicative Noise ◽

Landau Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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The asymptotic behavior of the stochastic Ginzburg–Landau equation with multiplicative noise

Journal of Mathematical Physics ◽

10.1063/1.1794365 ◽

2004 ◽

Vol 45 (11) ◽

pp. 4064-4076 ◽

Cited By ~ 8

Author(s):

Yang Desheng

Keyword(s):

Asymptotic Behavior ◽

Multiplicative Noise ◽

Landau Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Large deviations for the stochastic derivative Ginzburg–Landau equation with multiplicative noise

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2007.08.015 ◽

2008 ◽

Vol 237 (1) ◽

pp. 82-91 ◽

Cited By ~ 14

Author(s):

Desheng Yang ◽

Zhenting Hou

Keyword(s):

Large Deviations ◽

Multiplicative Noise ◽

Landau Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Stochastic Derivative

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