Finite dimensionality of the attractor for the hyperbolic Cahn–Hilliard–Oono equation in R3

@article{Savostianov2016FiniteDO,
  title={Finite dimensionality of the attractor for the hyperbolic Cahn–Hilliard–Oono equation in R3},
  author={A. Savostianov and S. Zelik},
  journal={Mathematical Methods in The Applied Sciences},
  year={2016},
  volume={39},
  pages={1254-1267}
}
In this paper, we continue the study of the hyperbolic relaxation of the Cahn-Hilliard-Oono equation with the sub-quintic non-linearity in the whole space R3 started in our previous paper and verify that under the natural assumptions on the non-linearity and the external force, the fractal dimension of the associated global attractor in the natural energy space is finite. 
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References

SHOWING 1-10 OF 50 REFERENCES
On the hyperbolic relaxation of the one-dimensional Cahn–Hilliard equation☆
  • 49
  • PDF
Doubly nonlinear Cahn-Hilliard-Gurtin equations
  • 17
ASYMPTOTIC BEHAVIOR OF THE CAHN-HILLIARD-OONO EQUATION
  • 30
  • PDF
Finite-dimensional attractor for the viscous Cahn-Hilliard equation in an unbounded domain
  • 17
  • PDF
Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions
  • 107
  • PDF
Infinite-energy solutions for the Cahn–Hilliard equation in cylindrical domains
  • 11
  • PDF
The convective Cahn-Hilliard equation
  • 35
  • PDF
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4
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