GUO Bai-Ling , GUO Chun-Xiao , PU Xua-Ke . RANDOM ATTRACTORS FOR A STOCHASTIC HYDRODYNAMICAL EQUATION IN HEISENBERG PARAMAGNET[J]. Acta mathematica scientia, Series B, 2011 , 31(2) : 529 -540 . DOI: 10.1016/S0252-9602(11)60253-1

[1] Crauel H, Debussche A, Flandoli F. Random attractors. J Dynam Diff Equ, 1997, 9: 307--341

[2]  Crauel H, Flandoli F. Attractors for random dynamical systems. Probab Theory Relat Fields, 1994, 100: 365--393

[3]  Da Prato G, Debussche A, Temam R. Stochastic Burgers' equation. NoDEA, 1994, 1: 389-402

[4]  Da Prato G, Zabczyk J. Stochastic equations in infinite dimensions//Encyclopedia of Mathematics and its Applications. Cambridge, UK: Cambridge University Press, 1992

[5]  de Bouard A, Debussche A. On the stochastic Korteweg-de Vires equation. J Funct Anal, 1998, 154: 215--251

[6]  de Bouard A, Debussche A. The stochastic nonlinear schr\"{o}dinger equation in H¹. Stochastic analysis and applications, 2003, 21(1): 97--126

[7]  Guo B, Ding S. Landau-Lifshitz equations//Frontiers of Research with the Chinese Academy of Sciences. Vol 1. Singapore: World Scientific, 2008

[8]  Guo B, Han Y. Global smooth solution of hydrodynamical equation for the Heisenberg paramagnet. Math Meth Appl Sci, 2004, 27: 181--191

[9]  Guo B, Pu X, Han Y. On a stochastic hydrodynamical equation in Heisenberg paramagnet. to appear

[10]  Landau LD, Lifshitz EM. On the theory of the dispersion of magnetic permeability in ferromagnetic bodies. Phys Z Sowj, 1935, 153(8); Reproduced in: Collected papers of Landau LD, New York: Pergamon Press, 1965: 101--114

[11]  Zhou Y, Guo B. Some boundary problems of the spin systems and the systems of ferro-magnetic chain, I. Nonlinear boundary problems. Acta Math Sci, 1986, 6(3): 321--337

[12]  Zhou Y, Guo B. Some boundary problems of the spin systems and the systems of ferro-magnetic chain, II. Mixed problems and others. Acta Math Sci, 1987, 7(2): 121--132