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On the Cauchy Problem for a Viscous Cahn-Hilliard-Oono System with Chemotaxis
  
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KeyWord:Viscous Cahn-Hilliard-Oono system, global existence, decay
Author NameAffiliation
Ning Duan College of Sciences, Northeastern University, Shenyang, 110004, China 
Ping Fang College of Sciences, Northeastern University, Shenyang, 110004, China 
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Abstract:
      In this paper, we are concerned with the well-posedness and large time behavior of Cauchy problem for viscous Cahn-Hilliard-Oono system with chemotaxis in 3D whole space. By using the pure energy method, standard continuity arguments together with negative Sobolev norm estimates, one proves the global well-posedness and time decay estimates.