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Long‐time behaviour of ferromagnetic spin chain equation: global attractor and its dimension
Author(s) -
Yongsheng Li,
Qingyi Chen
Publication year - 1997
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(199710)20:15<1271::aid-mma901>3.0.co;2-5
Subject(s) - attractor , mathematics , hausdorff dimension , ferromagnetism , fractal dimension , dimension (graph theory) , hausdorff space , boundary value problem , chain (unit) , spin (aerodynamics) , mathematical analysis , fractal , mathematical physics , pure mathematics , physics , condensed matter physics , quantum mechanics , thermodynamics
In this paper the authors consider the initial boundary value problem of the ferromagnetic spin chain equation and prove the existence of the global attractor and finiteness of the Hausdorff and the fractal dimensions of the attractor. © 1997 B. G. Teubner Stuttgart–John Wiley & Sons Ltd.