Antonio Segatti and Sergey Zelik 2009 Nonlinearity 22 2733 doi:10.1088/0951-7715/22/11/008
Finite-dimensional global and exponential attractors for the reaction–diffusion problem with an obstacle potential
Antonio Segatti1 and Sergey Zelik2
Show affiliationsRecommended by C-Q Cheng
A reaction–diffusion problem with an obstacle potential is considered in a bounded domain of 
. Under the assumption that the obstacle 
is a closed convex and bounded subset of 
with smooth boundary or it is a closed n-dimensional simplex, we prove that the long-time behaviour of the solution semigroup associated with this problem can be described in terms of an exponential attractor. In particular, the latter means that the fractal dimension of the associated global attractor is also finite.
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Issue 11 (November 2009)
Received 16 February 2009, in final form 17 September 2009
Published 13 October 2009
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Finite-dimensional global and exponential attractors for the reaction–diffusion problem with an obstacle potential
Antonio Segatti and Sergey Zelik 2009 Nonlinearity 22 2733
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