References
- Brand HR, Deissler RJ. Interaction of localized solutions for subcritical bifurcations. Phys Rev Lett. 1989;63(26):2801–2804.
- Ginzburg V, Landau L. On the theory of superconductivity. Zh Eksper Teoret Fiz. 1950;20:1064. English translation. In: Ter Haar D, editor. Men of Physics. LD Landau, Vol. L, New York (NY): Pergamon Press, 1965, p. 546--568.
- Duan J, Titi ES, Holmes P. Regularity, approximation and asymptotic dynamics for a generalized Ginzburg--Landau equation. Nonlinearity. 1993;6(6):915–933.
- Guo B, Wang B. Finite dimensional behaviour for the derivative Ginzburg--Landau equation in two spatial dimensions. Phys D Nonlinear Phenomena. 1995;89(1):83–99.
- Guo B, Gao H. Finite-dimensional behavior for a generalized Ginzburg--Landau equation. Prog Nat Sci. 1995;5:599–610.
- Cao Z, Guo B, Wang B. Global existence theory for the two-dimensional derivative Ginzburg--Landau equation. Chin Sci Bull. 1998;43(5):393–395.
- Gao H, Duan J. On the initial-value problem for the generalized two-dimensional Ginzburg--Landau equation. J Math Anal Appl. 1997;216(2):536–548.
- Guo B, Wang B, Zhao L. The global well-posedness and spatial decay of solutions for the derivative complex Ginzburg-Landau equation in H1. Nonlinear Anal Theory Meth Appl. 2004;57(7):1059–1076.
- Li Y, Guo B. Global existence of solutions to the derivative 2D Ginzburg--Landau equation. J Math Anal Appl. 2000;249(2):412–432.
- Guo B, Wang B. Weak solutions to the two-dimensional derivative Ginzburg--Landau equation. Acta Math Appl Sinica. 1999;15(1):1–8.
- Wang B, Wang Y. The inviscid limit of the derivative complex Ginzburg--Landau equation. J Math Pures Appl. 2004;83(4):477–502.
- Han L, Wang B, Guo B. Inviscid limit for the derivative Ginzburg--Landau equation with small data in modulation and Sobolev spaces. Appl Comput Harmonic Anal. 2012;32(2):197–222.
- Yang L, Guo B. The existence of global solution and their weak limit of generalized Ginzburg-Landau equations in two dimensions. Prog Nat Sci. 2006;16(5):458–463.
- Guo B, Wang B. Exponential attractors for the generalized Ginzburg--Landau equation. Acta Math Sinica. 2000;16(3):515–526.
- Lü S, Lu Q. Exponential attractor for the 3D Ginzburg--Landau type equation. Nonlinear Anal Theory Meth Appl. 2007;67(11):3116–3135.
- Lü SJ, Lu QS. Exponential attractor of the 3D derivative Ginzburg--Landau equation. Acta Math Sinica. 2008;24(5):809–828.
- Willie R. Asymptotic dynamics of the derivative Ginzburg--Landau equation. J Anal Appl. 2010;8(1):1–31.
- Lü S, Lu Q, Twizell EH. Fourier spectral approximation to long-time behaviour of the derivative three-dimensional Ginzburg--Landau equation. J Comput Appl Math. 2007;198(1):167–186.
- Guo B, Yuan R. The time-periodic solution to a 2D generalized Ginzburg--Landau equation. J Math Anal Appl. 2002;266(1):186–199.
- Cong H, Gao M. Quasi-Periodic solutions for the generalized Ginzburg--Landau equation with derivatives in the nonlinearity. J Dyn Differ Equ. 2011;23(4):1053–1074.
- Guo B, Wang B. Gevrey regularity and approximate inertial manifolds for the derivative Ginzburg--Landau equation in two spatial dimensions. Disc Contin Dyn Syst. 1996;2:455–466.
- Guo B, Yuan R. Existence of periodic solutions of the generalized Ginzburg--Landau equation with periodic boundary condition. Commun Nonlinear Sci Numer Simul. 2000;5(2):69–73.
- Guo B, Yuan R. Almost periodic solution of generalized Ginzburg--Landau equation. Prog Nat Sci. 2001;7:503–515.
- Guo B, Yuan R. On existence of almost periodic solution of Ginzburg--Landau equation. Commun Nonlinear Sci Numer Simul. 2000;5(2):74–79.
- Haraux A. Nonlinear evolution equations-Global behavior of solutions. Berlin: Springer; 2006.
- Lions JL, Magenes E. Non-homogeneous boundary value problems and applications. Vol. I, Die Grundlehren der Mathematischen Wissenschaften, Band 181. NewYork (NY): Springer-Verlag. Translated from the French by P. Kenneth (1972).
- Yang D, Hou Z. Large deviations for the stochastic derivative Ginzburg--Landau equation with multiplicative noise. Phys D Nonlinear Phenomena. 2008;237(1):82–91.
- Gao P, Li Y. Averaging principle for the Schrödinger equations. Disc Contin Dyn Syst Ser B. 2017;22(6):2147–2168.
- Chu J, Coron JM, Shang P. Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths. J Differ Equ. 2015;259(8):4045–4085.
- Rosier L, Zhang BY. Global stabilization of the generalized Korteweg-de Vries equation posed on a finite domain. SIAM J Control Optim. 2006;45(3):927–956.
- Chepyzhov VV, Vishik MI. Non-autonomous 2D Navier--Stokes system with a simple global attractor and some averaging problems. A tribute to JL Lions. ESAIM Control Optim Calc Variation. 2002;8:467–487.
- Chepyzhov VV, Vishik MI, Wendland WL. On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging. Disc Contin Dyn Syst. 2005;12(1):27–38.
- Chepyzhov V, Vishik M. Attractors for nonautonomous Navier--Stokes system and other partial differential equations. Instabil Model Connect Fluid Flows. 2008;I:135–265.