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关于粘性Cahn-Hilliard方程的注记

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摘要 In this note, we study the global existence of classical solutions for the viscous Cahn-Hilliard equation with spatial dimension n≤5. Based on the Schauder type estimates and energy estimates, we establish the global existence of classical solutions.
作者 柯媛元 尹景学
机构地区 DepartmentofMathematics
出处 《Northeastern Mathematical Journal》 CSCD 2004年第1期101-108,共8页 东北数学（英文版）
分类号 O175.2 [理学—基础数学]
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参考文献11

  • 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.
  • 2Novick-Cohen A and Segel L A. Nonlinear aspects of the Cahn-Hilliard equation,Physica, 10D (1984), 277-298.
  • 3Cohen D S and Murry J D. A generalized diffusion model for growth and dispersalin a population, J Math Biology, 12(1981), 237-249.
  • 4Yin Jingxue, On the Cahn-Hilliard equation with nonlinear principal part, J Partial Differential Equations, 7(1)(1994), 77-96.
  • 5Elliott C M and Garcke H. On the Cahn-Hilliard equation with degenerate mobility,SIAM, J Math Anal, 27(2)(1996), 404-423.
  • 6Yin Jingxue and Liu Changchun, Regularity of solutions of the Cahn-Hilliard equation with concentration dependent mobility, Nonlinear Anal, TMA, 45(6)(2001) 543-554.
  • 7Giaquinta M and Giusti E. Partial regularity for the solutions to nonlinear parabolic systems, Ann Mat Pura Appl, 97(1973), 235-266.
  • 8Barrett J W, Blowey J F and Garcke H. Finite element approximation of theCahn-Hilliard equation with degenerate mobility, SIAM J Numer Anal, 37(1)(1999),286-318.
  • 9Liu Changchun and Yin Jingxue, Some properties of solutions for viscous Cahn-Hilliard equation, Northeast Math J, 14(4)(1998), 455-466.
  • 10Fan Jishan and Li Yongsheng, A remark on asymptotics of solutions to the time-dependent Cahn-Hilliard equation, Chinese Ann Math, 23A(1)(2002), 93-98.
Northeastern Mathematical Journal
2004年 第1期

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