Dynamics of Evolutionary Equations

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On the existence of pullback attractors for non-autonomous reaction–diffusion equations (2008, background): “gif"/> ( X ), its Kuratowski measure of noncompactness κ( B ) is defined by It has the following properties (see Hale 10 , Sell and You 15 ).”
EVENTUAL COMPACTNESS FOR SEMIFLOWS GENERATED BY NONLINEAR AGE-STRUCTURED MODELS (2004, methodology): “You, “Dynamics of Evolutionary Equations”, Sringer-Verlag (2002).”
A result on the existence of global attractors for semigroups of closed operators (2007, background): “[1, 2, 3, 4, 6, 7, 8]), the existence of the global attractor A is usually established for asymptotically compact semigroups within the assumption that S(t) ∈ C(X ,X ) for every fixed t ∈ K.”
Attractors of non-autonomous stochastic lattice systems in weighted spaces (2014, background): “The concept of random attractor for autonomous stochastic systems was introduced in [27, 33, 51] as an extension of the global attractor for deterministic equations in [3, 35, 52, 54].”
A modified-Leray-α subgrid scale model of turbulence (2006, background): “Proof. The compactness of the semigroup {S(t)}t0 and the existence of bounded absorbing ball B guarantee the existence of the nonempty compact global attractor A (see, e.g., [12, 20, 27, 29 , 31]).”