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Global Existence and Blow-up of Solutions to Multi-dimensional (n ≤ 5) Viscous Cahn-Hilliard Equation 被引量：5

Global Existence and Blow-up of Solutions to Multi-dimensional (n ≤ 5) Viscous Cahn-Hilliard Equation
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摘要 In this paper we consider the viscous Cahn-Hilliard equation with spatial dimension n ≤ 5, and established global existence of weak solutions for small initial value and blow-up of solutions for any nontrivial initial data. In this paper we consider the viscous Cahn-Hilliard equation with spatial dimension n ≤ 5, and established global existence of weak solutions for small initial value and blow-up of solutions for any nontrivial initial data.
作者 黄锐 尹景学 李颖花 王春朋
机构地区 School of Mathematics
出处 《Northeastern Mathematical Journal》 CSCD 2005年第3期371-378,共8页 东北数学（英文版）
基金 The NSF (10125107) of China and partially supported by a Specific Foundation for Ph.D Specialities of Educational Department of China.
关键词 viscous Cahn-Hilliard equation EXISTENCE BLOW-UP viscous Cahn-Hilliard equation, existence, blow-up
分类号 O175.2 [理学—基础数学]
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参考文献6

  • 1Novick-Cohen, A., On the viscous Cahn-Hilliard equation, in: Material Instabilities in Continuum Mechanics and Related Mathematical Problems, Ball, J. ed., Oxford Science Publications,Clarendon Press, Oxford, 1988, pp. 329-342.
  • 2Bai, F., Elliott, C. M., Gardiner, A., Spence, A. and Stuart, A. M., The viscous Cahn-Hilliard equation, Part Ⅰ: Computations, Nonlinearity, 8(1995), 131-160.
  • 3Elliott, C. M. and Stuart, A. M., The viscous Cahn-Hilliard equation, Part Ⅱ: Analysis, J.Differential Equations, 128(1996), 387-414.
  • 4Elliott, C. M. and Zheng, S., On the Cahn-Hilliard equation, Arch. Rational Mech. Anal.,96(1986), 339-357.
  • 5Liu C. C. and Yin J. X., Some properties of solutions for viscous Cahn-Hilliard equation, Northeast. Math. J., 14(4)(1998), 455-466.
  • 6Ke Y. Y. and Yin J. X., A note on the viscous Cahn-Hilliard equation, Northeast. Math. J.,20(1) (2004), 101-108.

同被引文献8

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Northeastern Mathematical Journal
2005年 第3期

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