Attractors for non-compact semigroups via energy equations

@article{Moise1998AttractorsFN,
  title={Attractors for non-compact semigroups via energy equations},
  author={Ioana Moise and Ioana Moise and Ricardo M. S. Rosa and Ricardo M. S. Rosa and Xiaomin Wang},
  journal={Nonlinearity},
  year={1998},
  volume={11},
  pages={1369-1393}
}
The energy-equation approach used to prove the existence of the global attractor by establishing the so-called asymptotic compactness property of the semigroup is considered, and a general formulation that can handle a number of weakly damped hyperbolic equations and parabolic equations on either bounded or unbounded spatial domains is presented. As examples, three specific and physically relevant problems are considered, namely the flows of a second-grade fluid, the flows of a Newtonian fluid… 
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