Asymptotic behavior for non-autonomous fractional stochastic Ginzburg–Landau equations on unbounded domains

2020 ◽  
Vol 61 (7) ◽  
pp. 072704
Author(s):  
Ji Shu ◽  
Xin Huang ◽  
Jian Zhang
Keyword(s):  
Asymptotic Behavior ◽  
Unbounded Domains ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equations

scholarly journals Asymptotic behavior of random coupled Ginzburg–Landau equation driven by colored noise on unbounded domains

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Zhang Chen ◽  
Lingyu Li ◽  
Dandan Yang
Keyword(s):  
Asymptotic Behavior ◽  
Lipschitz Condition ◽  
Colored Noise ◽  
Nonlinear Term ◽  
Coupling Parameter ◽  
Landau Equation ◽  
Unbounded Domains ◽  
Ginzburg Landau ◽  
Local Lipschitz Condition ◽  
Ginzburg Landau Equation

AbstractIn this paper, a random coupled Ginzburg–Landau equation driven by colored noise on unbounded domains is considered, in which the nonlinear term satisfies a local Lipschitz condition. It is shown that the random attractor of such a coupled Ginzburg–Landau equation is a singleton set, and the components of solutions are very close when the coupling parameter becomes large enough.

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