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Abstract
In this work we consider the nonlocal evolution equation ∂ u ( x , t ) ∂ t = − u ( x , t ) + tanh ( β J ∗ u ( x , t ) + h ) which arises in models of phase separation. We prove the existence of a compact global attractor in some weighted spaces and the existence of a distinguished nonhomogeneous equilibrium: the ‘critical droplet.’
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