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Homogenization of stationary Navier-Stokes-Fourier system in domains with tiny holes. (English) Zbl 1458.35043

The authors make use in a suitable manner of the knowledge accumulated in the Prague school working on Navier-Stokes equations to handle difficulties encountered when passing to the homogenization limit in the compressible Navier-Stokes-Fourier system posed for domains perforated with small balls. This builds up on older results by Allaire and collaborators.

MSC:

35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
35Q35 PDEs in connection with fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations
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References:

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