Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two

Marco Bravin*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

In this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application, we show that the presence of a small obstacle does not influence the dynamics of a viscous compressible fluid in dimension two.

Original languageEnglish
Article number84
Number of pages29
JournalJournal of Evolution Equations
Volume24
Issue number4
DOIs
Publication statusPublished - 2024

Keywords

  • 35Q30
  • 74Q15
  • 76N15
  • Compressible Navier–Stokes
  • Fluid mechanics
  • Homogenization
  • Obstacle problem

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