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Dimension of Maximal Attractors for the m-dimensional Cahn Hilliard System 被引量:2

Dimension of Maximal Attractors for the m-dimensional Cahn Hilliard System
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摘要 On the basis of the existence of the maximal attractor of the m-dimensional Cahn-Hilliard system in the product spaces (L2(Ω))^m and (H2(Ω))^m, in this paper, its Hausdorff dimension is estimated by calculating the orthogonal projection of the linear variational operator of the system. On the basis of the existence of the maximal attractor of the m-dimensional Cahn-Hilliard system in the product spaces (L2(Ω))^m and (H2(Ω))^m, in this paper, its Hausdorff dimension is estimated by calculating the orthogonal projection of the linear variational operator of the system.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第6期1487-1494,共8页 数学学报(英文版)
基金 NSFC (China) grants # 10171101 and # 10428104 TRAPOYT China MOE Doctoral Base Research Grant
关键词 Cahn-Hilliard System Sectorial operator Maximal attractor Hausdorff dimension Cahn-Hilliard System, Sectorial operator, Maximal attractor, Hausdorff dimension
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  • 1Cahn, J. W, Hilliard, J. E.: Free energy of a nonuniform system Ⅰ. Interracial free energy. J. Chem. Phys,28, 258-267 (1958). 被引量:1
  • 2Novick-Cohen, A, Segel, L. A.: Nonlinear aspects of the Cahn-Hilliard equation. Physica, 10D, 277-298(1984). 被引量:1
  • 3Temam, R.: Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, New York,1988. 被引量:1
  • 4Dlotko, T,: Global attractor for the Cahn-Hilliard equation in H^2 and H^3. J. Diff. Eqns, 113, 381-393(1994). 被引量:1
  • 5Elliott, C. M, Luckhaus, S.: A generalized diffusion equation for phase separation of a multicomponent mixture with interfacial free energy, IMA, Preprint 887, 1991. 被引量:1
  • 6Eyre, D. J.: Systems of Cahn Hilliard equations, University of Minnisota, AHPCRC Preprint 92-102, 1992. 被引量:1
  • 7Gao, W, Yin, J.: Systems of Cahn-Hilliard equations with density-dependent transition matrices. Chinese Ann. Math. Ser. A, 20, 169-176 (1999). 被引量:1
  • 8Maier-Paape, S, Stoth, B, Wanner, T.: Spinodal decomposition for multicomponent Cahn-Hilliard systems. J. Statist. Phys, 98, 871-896 (2000). 被引量:1
  • 9Hale, J. K.: Asymptotic Behavior of Dissipative Systems, AMS, Providence, Rhode Island, 1988. 被引量:1
  • 10Cholewa, J. W, Dlotko, T.: Global attractor for the Cahn-Hilliard system. Bull. Austral. Math. Soc, 40,277-293 (1993). 被引量:1

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