Dynamics of Fractional Stochastic Ginzburg–Landau Equation Driven by Nonlinear Noise

Hong Lu, Linlin Wang and Mingji Zhang ()
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Hong Lu: School of Mathematics and Statistics, Shandong University, Weihai 264209, China
Linlin Wang: School of Mathematics and Statistics, Shandong University, Weihai 264209, China
Mingji Zhang: Department of Mathematics, New Mexico Institution of Mining and Technology, Socorro, NM 87801, USA

Mathematics, 2022, vol. 10, issue 23, 1-36

Abstract: In this work, we focus on the long-time behavior of the solutions of the stochastic fractional complex Ginzburg–Landau equation defined on R n with polynomial drift terms of arbitrary order. The well-posedness of the equation based on pathwise uniform estimates and uniform estimates on average are proved. Following this, the existence and uniqueness of weak pullback random attractors are establsihed.

Keywords: fractional complex Ginzburg–Landau equation; mean random attractor; nonlinear noise; unbounded domain; locally Lipschitz continuous (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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