Publication Cover
Applicable Analysis
An International Journal
Volume 49, 1993 - Issue 3-4
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Original Articles

Finite dimensional exponential attractor for the phase field model

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Pages 197-212 | Received 15 Jun 1992, Published online: 02 May 2007

References

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  • Eden , A. 1990 . Finite dimensional exponential attractors for semi-linear wave equations with damping IMA Preprint , Vol. 693 , University of Minnesota .
  • Elliott , C.M. and Zheng , S. 1990 . Global existence and stability of solutions to the phase field equations, in Free Boundary Problems , Edited by: Hoffmann , K.H. and Sprekels , J. Vol. 95 , Birkhauser, Basel : International Series of Numerical Mathematics .
  • Ladyzenskaja , O.A. , Solonnikov , V.A. and Ural'ceva , N.N. 1968 . “ Linear and Quasi-linear Equations of Parabolic Type ” . In Translations of Mathematical Monographs , Vol. 23 , Providence, R.I. : American Mathematical Society .
  • Lions , J.L. and Magenes , E. 1972 . Nonhomogeneous Boundary Value Problems and Applications , Berlin : Springer . translated from Dunod, Paris (1968)
  • Marion , M. 1987 . Attractors for reaction-diffusion equations:existence and estimate of their dimension . Appl. Anal. , 25 : 101 – 147 .
  • Temam , R. 1988 . Infinite Dimensional Dynamical Systems in Mechanics and Physics , Vol. 68 , New York : Applied Mathematical Sciences 68, Springer .

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