The asymptotic behavior of the stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations

Boundary Value Problems

Mei Li¹  Lin Lin² 

[1] Department of Applied Mathematics, Nanjing University of Finance and Economics;School of Arts and Sciences, Shanghai Dianji University;

关键词: Coupled KS–GL equations;    Random dynamical systems;    Random attractor;   

DOI  :  10.1186/s13661-020-01371-y

来源: DOAJ

【 摘 要 】

Abstract The stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations (KS-GL) perturbed by additive noises is investigated in this paper. By making careful analysis, we first consider the existence and uniqueness of the solution with initial-boundary condition, and then we establish a random attractor for the stochastic KS–GL equations in X = L 2 × H − 1 $X=L^{2} \times H^{-1}$ .

【 授权许可】

Unknown