Averaging Principle for Complex Ginzburg--Landau Equation Perturbated by Mixing Random Forces

Peng Gao

doi:10.1137/20m1325836

Averaging Principle for Complex Ginzburg--Landau Equation Perturbated by Mixing Random Forces

SIAM Journal on Mathematical Analysis ◽

10.1137/20m1325836 ◽

2021 ◽

Vol 53 (1) ◽

pp. 32-61

Author(s):

Peng Gao

Keyword(s):

Landau Equation ◽

Averaging Principle ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Random Forces

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Averaging principle for stochastic real Ginzburg-Landau equation driven by $ \alpha $-stable process

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020063 ◽

2020 ◽

Vol 19 (3) ◽

pp. 1291-1319 ◽

Cited By ~ 3

Author(s):

Xiaobin Sun ◽

◽

Jianliang Zhai ◽

Keyword(s):

Landau Equation ◽

Stable Process ◽

Averaging Principle ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Study of the Instability of Wave Packets in Fluidized-Bed Furnaces within the Framework of Ginzburg–Landau Equation

Heat Transfer Research ◽

10.1615/heattransres.v34.i1-2.140 ◽

2003 ◽

Vol 34 (1-2) ◽

pp. 7

Author(s):

I. V. Elyukhina ◽

E. V. Toropov ◽

G. F. Kuznetsov

Keyword(s):

Fluidized Bed ◽

Landau Equation ◽

Wave Packets ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Blowup for a complex Ginzburg–Landau equation focusing on the parabolicity

Asymptotic Analysis for Nonlinear Dispersive and Wave Equations ◽

10.2969/aspm/08110375 ◽

2019 ◽

Author(s):

Takuya Tomidokoro ◽

Tomomi Yokota

Keyword(s):

Landau Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2

Journal of Mathematical Physics ◽

10.1063/5.0028065 ◽

2021 ◽

Vol 62 (4) ◽

pp. 041509

Author(s):

Juncheng Wei ◽

Yuanze Wu

Keyword(s):

Landau Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Vortex Solutions

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Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation

Advances in Computational Mathematics ◽

10.1007/s10444-021-09862-x ◽

2021 ◽

Vol 47 (3) ◽

Author(s):

Qifeng Zhang ◽

Jan S. Hesthaven ◽

Zhi-zhong Sun ◽

Yunzhu Ren

Keyword(s):

Error Estimate ◽

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Pointwise Error

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Kink wave, dark and bright soliton solutions for complex Ginzburg–Landau equation using Lie symmetry method

Optik ◽

10.1016/j.ijleo.2021.167048 ◽

2021 ◽

pp. 167048

Author(s):

H. Elzehri ◽

A.H. Abdel Kader ◽

M.S. Abdel Latif

Keyword(s):

Landau Equation ◽

Soliton Solutions ◽

Lie Symmetry ◽

Bright Soliton ◽

Ginzburg Landau ◽

Lie Symmetry Method ◽

Ginzburg Landau Equation ◽

Kink Wave ◽

Symmetry Method

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Spiral Solutions of the Two-Dimensional Complex Ginzburg–Landau Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/35/2/159 ◽

2001 ◽

Vol 35 (2) ◽

pp. 159-161

Author(s):

Liu Shi-Da ◽

Liu Shi-Kuo ◽

Fu Zun-Tao ◽

Zhao Qiang

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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New optical solitons for complex Ginzburg–Landau equation with beta derivatives via two integration algorithms

Indian Journal of Physics ◽

10.1007/s12648-021-02168-0 ◽

2021 ◽

Author(s):

L. Ouahid ◽

M. A. Abdou ◽

S. Owyed ◽

M. Inc ◽

A. M. Abdel-Baset ◽

...

Keyword(s):

Landau Equation ◽

Optical Solitons ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Integration Algorithms

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Response solution to complex Ginzburg–Landau equation with quasi-periodic forcing of Liouvillean frequency

Boundary Value Problems ◽

10.1186/s13661-020-01367-8 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Shimin Wang ◽

Jie Liu

Keyword(s):

Landau Equation ◽

Periodic Forcing ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Liouvillean Frequency

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HOC-ADI schemes for two-dimensional Ginzburg–Landau equation in superconductivity

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.05.031 ◽

2021 ◽

Author(s):

Linghua Kong ◽

Yiyang Luo ◽

Lan Wang ◽

Meng Chen ◽

Zhi Zhao

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Adi Schemes

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