arXiv:2001.06950 Abstract | arXiv Analytics

arXiv:2001.06950 [math.AP]Abstract References Reviews Resources

Homogenization of stationary Navier--Stokes--Fourier system in domains with tiny holes

Published 2020-01-20Version 1

We study the homogenization of stationary compressible Navier--Stokes--Fourier system in a bounded three dimensional domain perforated with a large number of very tiny holes. Under suitable assumptions imposed on the smallness and distribution of the holes, we show that the homogenized limit system remains the same in the domain without holes.

Comments: 27 pages

Categories: math.AP

Keywords: stationary navier-stokes-fourier system, tiny holes, homogenization, stationary compressible navier-stokes-fourier system, homogenized limit system remains

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