Long time behaviour for generalized complex Ginzburg--Landau equation

DOI10.1016/j.jmaa.2006.07.095zbMath1119.35005OpenAlexW1963791928MaRDI QIDQ879038

Xuhong Liu, Zhengde Dai, Dong-Long Li

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.095

zbMATH Keywords

periodic boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41)

Related Items (19)

Random attractors for the stochastic coupled fractional Ginzburg-Landau equation with additive noise ⋮ Wong–Zakai approximations and limiting dynamics of stochastic Ginzburg–Landau equations ⋮ Remarks on the derivation of several second order partial differential equations from a generalization of the Einstein equations ⋮ Wong-Zakai approximations and asymptotic behavior of stochastic Ginzburg-Landau equations ⋮ Existence and upper semicontinuity of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations ⋮ On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space ⋮ Random attractor of stochastic complex Ginzburg–Landau equation with multiplicative noise on unbounded domain ⋮ Asymptotic behavior for non-autonomous fractional stochastic Ginzburg–Landau equations on unbounded domains ⋮ Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations ⋮ RANDOM ATTRACTORS FOR NON-AUTONOMOUS FRACTIONAL STOCHASTIC GINZBURG-LANDAU EQUATIONS ON UNBOUNDED DOMAINS ⋮ Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg–Landau equations with multiplicative noise ⋮ Asymptotic behavior of non-autonomous random Ginzburg-Landau equation driven by colored noise ⋮ Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise ⋮ Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces ⋮ Dynamics of non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise ⋮ Regularity of random attractors for non-autonomous stochastic discrete complex Ginzburg-Landau equations ⋮ Long-time behavior of solution for coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities ⋮ Wong–Zakai approximations and random attractors of non-autonomous stochastic discrete complex Ginzburg–Landau equations ⋮ Dynamics of stochastic Ginzburg–Landau equations driven by nonlinear noise

Cites Work

• Unnamed Item
• On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation
• Semigroups of linear operators and applications to partial differential equations
• Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Weak and strong solutions of the complex Ginzburg-Landau equation
• On the Cauchy problem of generalized complex Ginzburg-Landau equation in three dimensions.
• Low-dimensional behaviour in the complex Ginzburg-Landau equation

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