Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ASYMTOTIC BEHAVIOUR OF THE VISCOUS CAHN-HILLIARD EQUATION

  • Choo, S.M. (School of Mathematics and Physics, Ulsan University) ;
  • Chung, S.K. (Department of Mathematics Education, Seoul National University)
  • Published : 2003.01.01

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Abstract

Analytical solutions for the viscous Cahn-Hilliard equation are considered. Existence and uniqueness of the solution are shown. The exponential decay of the solution in H$^2$-norm, which is an improvement of the result in Elliott and Zheng[5]. We also compare the early stages of evolution of the viscous Cahn-Hilliard equation with that of the Cahn-Hilliard equation, which has been given as an open question in Novick-Cohen[8].

Keywords

References

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