• Corpus ID: 243860803

Well-posedness for chemotaxis-fluid models in arbitrary dimensions

  title={Well-posedness for chemotaxis-fluid models in arbitrary dimensions},
  author={Gael Yomgne Diebou},
. We study the Cauchy problem for the chemotaxis Navier-Stokes equations and the Keller-Segel-Navier-Stokes system. Local-in-time and global-in-time solutions satisfying fundamental properties such as mass conservation and nonnegativity preservation are constructed for low regularity data in 2 and higher dimensions under suitable conditions. Our initial data classes involve a new scale of function space, that is L − 1 2 ,N − 2 ( R N ) which collects divergence of vector-fields with components in… 



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