Geodesic
Global attractor for the perturbed viscous Cahn–Hilliard equation
Maria B. Kania 1
1 Institute of Mathematics Silesian University 40-007 Katowice, Poland
Colloquium Mathematicum, Tome 109 (2007) no. 2, pp. 217-229 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider the initial-boundary value problem for the perturbed viscous Cahn–Hilliard equation in space dimension $n\leq 3$. Applying semigroup theory, we formulate this problem as an abstract evolutionary equation with a sectorial operator in the main part. We show that the semigroup generated by this problem admits a global attractor in the phase space $(H^2({\mit\Omega} )\cap H^{1}_{0}({\mit\Omega} ))\times L^2({\mit\Omega} )$ and characterize its structure.
DOI : 10.4064/cm109-2-4
Keywords: consider initial boundary value problem perturbed viscous cahn hilliard equation space dimension leq applying semigroup theory formulate problem abstract evolutionary equation sectorial operator main part semigroup generated problem admits global attractor phase space mit omega cap mit omega times mit omega characterize its structure

Maria B. Kania  1

1 Institute of Mathematics Silesian University 40-007 Katowice, Poland 
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Maria B. Kania. Global attractor for the perturbed viscous
 Cahn–Hilliard equation. Colloquium Mathematicum, Tome 109 (2007) no. 2, pp. 217-229. doi: 10.4064/cm109-2-4

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