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

Author:

Lu Hong,Wang Linlin,Zhang MingjiORCID

Abstract

In this work, we focus on the long-time behavior of the solutions of the stochastic fractional complex Ginzburg–Landau equation defined on Rn 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.

Funder

NSF of Shandong Province

Simons Foundation of USA

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference43 articles.

1. Nobel lecture: On superconductivity and superfluidity (what I have and have not managed to do) as well as on the physical minimum at beginning of the XXI century;Ginzburg;Rev. Modern Phys.,2004

2. On the theory of superconductivity;Ginzburg;Zeksp. Teor. Fiz.,1950

3. Fractional Ginzburg–Landau equation for fractal media;Tarasov;Phys. Stat. Mech. Its Appl.,2005

4. Well-posedness and dynamics for the fractional Ginzburg–Landau equation;Pu;Appl. Anal.,2011

5. Asymptotic Dynamics of 2d Fractional Complex Ginzburg–Landau Equation;Lu;Int. J. Bifur. Chaos,2013

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