For holes of diameter ε^α with α>3, weak solutions of the 3D non-homogeneous incompressible heat-conducting fluid converge to a weak solution of the same system on the unperforated domain.
Pan,Homogenization of non-homogeneous incompressible Navier-Stokes system in critically perforated domains, J
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Homogenization of a non-homogeneous incompressible heat-conducting fluid in perforated domains
For holes of diameter ε^α with α>3, weak solutions of the 3D non-homogeneous incompressible heat-conducting fluid converge to a weak solution of the same system on the unperforated domain.